8.5 Greatest Common Factor and Least
Common Multiple
What do gears, different types of cicadas, and the spirogyra drawing toy all have in
common? - answer all have aspects that are related to greatest common factors and
least common multiples
in 8.1 we discussed - answer factors and multiples of individual numbers
If we have two or more counting numbers in mind, - answer we can consider the factors
that the two numbers have in common and the multiples that the two numbers have in
common
By considering common multiples and common factors of two or more counting
numbers, - answerwe arrive at the concepts of greatest common factor and least
common multiple,
greatest common factors and least common multiples can be useful when -
answerworking with fractions
DEFINITIONS OF GCF AND LCM - answerone method to finding GCF and LCMS
what is the greatest common factor (greatest common divisor) - answerif you have two
or more counting numbers, then the greatest common factor of these numbers is the
greatest counting number that is a factor of all the given counting numbers
what is the GCF of 12 and 18? - answerthe factors of 12 are 1, 2, 3, 4, 6, 12
factors of 18 are 1, 2, 3, 6, 9, 18
common factors of 12 and 18 are the numbers that are common to the two lists
1, 2, 3, 6
the greatest of these numbers is 6 (GCF) of 12 and 18
least common multiiple - answerif you have two or more counting numbers the LCM of
these numbers is the least counting number that is a multiple of all the given numbers
LCM of 6 and 8 - answerthe multiples of 6 are 6 12 18 24 30 36 42 48 54 60 66 72 78
multiples of 8 are 8 16 24 32 40 48 56 64 72 80
Common Multiple
What do gears, different types of cicadas, and the spirogyra drawing toy all have in
common? - answer all have aspects that are related to greatest common factors and
least common multiples
in 8.1 we discussed - answer factors and multiples of individual numbers
If we have two or more counting numbers in mind, - answer we can consider the factors
that the two numbers have in common and the multiples that the two numbers have in
common
By considering common multiples and common factors of two or more counting
numbers, - answerwe arrive at the concepts of greatest common factor and least
common multiple,
greatest common factors and least common multiples can be useful when -
answerworking with fractions
DEFINITIONS OF GCF AND LCM - answerone method to finding GCF and LCMS
what is the greatest common factor (greatest common divisor) - answerif you have two
or more counting numbers, then the greatest common factor of these numbers is the
greatest counting number that is a factor of all the given counting numbers
what is the GCF of 12 and 18? - answerthe factors of 12 are 1, 2, 3, 4, 6, 12
factors of 18 are 1, 2, 3, 6, 9, 18
common factors of 12 and 18 are the numbers that are common to the two lists
1, 2, 3, 6
the greatest of these numbers is 6 (GCF) of 12 and 18
least common multiiple - answerif you have two or more counting numbers the LCM of
these numbers is the least counting number that is a multiple of all the given numbers
LCM of 6 and 8 - answerthe multiples of 6 are 6 12 18 24 30 36 42 48 54 60 66 72 78
multiples of 8 are 8 16 24 32 40 48 56 64 72 80
