Greatest Common Factor of 56/635, 964/321, 970/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/635, 964/321, 970/463

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 56/635,964/321,970/463

Given fractions are 56/635,964/321,970/463

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 56,964,970

Greatest Common Factor of Numerators i.e. GCF of 56,964,970 is 2 .

LCM of Denominators means LCM of 635,321,463 as per the given fractions.

LCM of 635,321,463 is 94375605 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,964,970

GCF of Fractions 56/635,964/321,970/463 is 2/94375605

2 56, 964, 970
28, 482, 485

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 56,964,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,964,970 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 56,964,970 . The biggest common factor number is the GCF number.
So the greatest common factor 56,964,970 is 2.

Lets's calculate LCM of 635,321,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 94375605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94375605

Therefore, the GCF of Fractions 56/635,964/321,970/463 is 2/94375605

Least Common Multiple of 635,321,463 with GCF Formula

Least Common Multiple of 635,321,463 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 635,321,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,321,463) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(635,321,463) x common factors =1 x 1 = 1

LCM(635,321,463) = ( 635 × 321 × 463 ) / 1

LCM(635,321,463) = 94375605 / 1

LCM(635,321,463) = 94375605


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 56/635, 964/321, 970/463

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 56/635, 964/321, 970/463?

Answer: GCF of Numerators as per given numbers 56/635, 964/321, 970/463 is

GCF of Numerators i.e. for 56,964,970 is 2

LCM of denominators i.e. for 635,321,463 is 94375605.

Thus, GCF of Fractions is 2/94375605.Finally, GCF of Fractions for 56/635, 964/321, 970/463 is 2/94375605.