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When a number is a multiple of another the GCF of the numbers is the greatest common factor?
The GCF of the numbers is the greatest common factor no matter what their relationship is. When one number is a multiple of another number, the GCF is the smaller number.
When is the greatest common factor of two numbers is one of the numbers?
The greatest common factors (GCF) of two numbers is one of the numbers when the larger number is a multiple of the smaller number. Examples: The GCF of 10 and 20 is 10 (2 x 10 = 20) The GCF of 29 and 87 is 29 (3 x 29 = 87)
What is number has GCF of 9?
The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You are asking about one number having a GCF!
How do you identify the gcf and LCM of a pair of numbers if one number is a factor of the other number?
The GCF is the factor, the LCM is the other one.
What is the greatest common factor of 5 and 0?
The GCF of zero and any other number is the other number.
Can the greatest common factor be equal to the number?
The GCF can be equal to the smaller number if the smaller number is a factor of the larger one. The GCF can be equal to both numbers if they are the same number. The GCF of 10 and 10 is 10.
When a number is a multiple of another the GCF of the numbers is the greatest common factor?
The GCF of the numbers is the greatest common factor no matter what their relationship is. When one number is a multiple of another number, the GCF is the smaller number.
What is the GCF of 94 and 47?
47 is a factor of 94: 47*2 = 94.Suppose you are looking for the GCF of two numbers and that that one of the numbers is a multiple of the other. Then their GCF is always smaller of the two number.Every number is a factor of itself, so the smaller number is a factor of itself. Also, if the bigger number is its multiple, then it must also be a factor of the bigger number. So it is a common factor.Now, any number that is bigger than the smaller of the two numbers cannot be its factor. So, the common factor found earlier must be the greatest such number.
How do you do greatest common factor with 18 and 36?
18 is a factor of 36. It's impossible to have a GCF larger than the smaller number, so 18 must be the GCF.
When is the GCF of two numbers one of the two numbers?
When the smaller one is a factor of the larger one. (That also means the larger one is a multiple of the smaller one.) The smaller number is the GCF of both.
Explain Why the LCM is at least as large as the GCF.?
No number can have a multiple smaller than itself. No number can have a factor larger than itself. In a set of two numbers, the LCM can't be smaller than the larger number and the GCF can't be larger than the smaller number. In rare cases, the LCM can equal the GCF, but it can never be smaller.
When is the greatest common factor of two numbers is one of the numbers?
The greatest common factors (GCF) of two numbers is one of the numbers when the larger number is a multiple of the smaller number. Examples: The GCF of 10 and 20 is 10 (2 x 10 = 20) The GCF of 29 and 87 is 29 (3 x 29 = 87)
When is the greatest common factor of two number one of the two number and explain your reasoning?
When one of the numbers is a factor of the other, the smaller one is the GCF, because a number can't have a factor larger than itself.
What is the common factor of 30 and 60?
30Any time the smaller number goes directly into the larger, the smaller is the GCF (HCF) and the larger is the LCM/LCD.
Which pair of numbers has a greatest common factor of 1?
Any two prime numbers have a greatest common factor of 1. Examples: The GCF of 5 and 19 is 1. The GCF of 3 and 7 is 1. The GCF of 23 and 29 is 1. A prime number and any other number that is not a multiple of it have a greatest common factor of 1. Examples: The GCF of 2 and 9 is 1. The GCF of 7 and 16 is 1. The GCF of 13 and 60 is 1. Other pairs of numbers without any prime factors in common also have a greatest common factor of 1. Examples: The GCF of 4 and 9 is 1. The GCF of 21 and 25 is 1. The GCF of 72 and 77 is 1.
What is the greatest common factor of 2 and 36 using the factor tree method?
2 is a prime number, it doesn't have a factor tree. You can save time and effort by remembering that if the smaller of a pair of numbers is a factor of the larger one, it is automatically the GCF. The GCF of 2 and 36 is 2.
What is the greatest common factor of 12 and 4?
If the larger number is a multiple of the smaller number, as in this case, the GCF is the smaller number. (Alternatively, using Euclid's algorithm, the remainder of the division of the larger number by the smaller number is zero, so in this case, the GCF of 12 and 4 is the same as the GCF of 4 and 0 - which is equal to 4.)
