The greatest common factor of several numbers cannot be larger than the greatest common factor of any pair of the numbers. If you realize that the greatest common factor of 3 and 5 is 1, the greatest common factor of all the numbers must be 1.
Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 3 are 1 and 3.
The factors of 5 are 1 and 5.
The factors of 8 are 1, 2, 4, and 8.
The factors of 10 are 1, 2, 5, and 10.
The only common factor is 1. Therefore, the greatest common factor is 1.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factor of 3 is 3.
The prime factor of 5 is 5.
The prime factors of 8 are 2, 2, and 2.
The prime factors of 10 are 2 and 5.
There are no prime factors in common, so the greatest common factor is 1.
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The GCF of 3, 6, and 10 is 1. Since 3 is prime, its only factors are 1 and 3. Of those, only 1 is a factor of the other two numbers in the set.
While 3 and 6 share a prime factor (3), and 6 and 10 share a common factor (2), there is no prime factor common to all three numbers.
(The LCM of the three numbers is 30.)
The greatest common factor of 3, 5, and 12 is 1.
The greatest common denominator is infinite.
The LCM or least common multiple of 3 and 5 is 15.The GCF or greatest common factor of 3 and 5 is 1.
The factors of 5 are: 1, and 5The factors of 10 are: 1, 5, and 10The factors common to 5 and 10 are: 1, and 5The greatest common factor is 5.
30: 2 x 3 x 5 45: 3 x 3 x 5 250: 2 x 5 x 5 x 5 The greatest common set of factors is 5, hence the greatest common factor is 5.