Greatest Common Factor of 564/457, 6820/9677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/457, 6820/9677

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 564/457,6820/9677

Given fractions are 564/457,6820/9677

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 564,6820

Greatest Common Factor of Numerators i.e. GCF of 564,6820 is 4 .

LCM of Denominators means LCM of 457,9677 as per the given fractions.

LCM of 457,9677 is 4422389 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,6820

GCF of Fractions 564/457,6820/9677 is 4/4422389

2 564, 6820
2 282, 3410
141, 1705

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 564,6820 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,6820 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 6820

List of positive integer factors of 6820 that divides 6820 without a remainder.

1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820

Greatest Common Factor

We found the factors 564,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 564,6820 is 4.

Lets's calculate LCM of 457,9677

Given numbers has no common factors except 1. So, there LCM is their product i.e 4422389

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4422389

Therefore, the GCF of Fractions 564/457,6820/9677 is 4/4422389

Least Common Multiple of 457,9677 with GCF Formula

Least Common Multiple of 457,9677 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 457,9677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,9677) = 1

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

GCF(457,9677) x common factors =1 x 1 = 1

LCM(457,9677) = ( 457 × 9677 ) / 1

LCM(457,9677) = 4422389 / 1

LCM(457,9677) = 4422389


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 564/457, 6820/9677

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 564/457, 6820/9677?

Answer: GCF of Numerators as per given numbers 564/457, 6820/9677 is

GCF of Numerators i.e. for 564,6820 is 4

LCM of denominators i.e. for 457,9677 is 4422389.

Thus, GCF of Fractions is 4/4422389.Finally, GCF of Fractions for 564/457, 6820/9677 is 4/4422389.