Greatest Common Factor of 3846/647, 5656/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3846/647, 5656/477

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 3846/647,5656/477

Given fractions are 3846/647,5656/477

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 3846,5656

Greatest Common Factor of Numerators i.e. GCF of 3846,5656 is 2 .

LCM of Denominators means LCM of 647,477 as per the given fractions.

LCM of 647,477 is 308619 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3846,5656

GCF of Fractions 3846/647,5656/477 is 2/308619

2 3846, 5656
1923, 2828

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

Greatest Common Factor of 3846,5656 By Matching Biggest Common Factor Method

Greatest Common Factor of 3846,5656 By Matching Biggest Common Factor Method

Factors of 3846

List of positive integer factors of 3846 that divides 3846 without a remainder.

1,2,3,6,641,1282,1923,3846

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Greatest Common Factor

We found the factors 3846,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 3846,5656 is 2.

Lets's calculate LCM of 647,477

Given numbers has no common factors except 1. So, there LCM is their product i.e 308619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/308619

Therefore, the GCF of Fractions 3846/647,5656/477 is 2/308619

Least Common Multiple of 647,477 with GCF Formula

Least Common Multiple of 647,477 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 647,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,477) = 1

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

GCF(647,477) x common factors =1 x 1 = 1

LCM(647,477) = ( 647 × 477 ) / 1

LCM(647,477) = 308619 / 1

LCM(647,477) = 308619


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 3846/647, 5656/477

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 3846/647, 5656/477?

Answer: GCF of Numerators as per given numbers 3846/647, 5656/477 is

GCF of Numerators i.e. for 3846,5656 is 2

LCM of denominators i.e. for 647,477 is 308619.

Thus, GCF of Fractions is 2/308619.Finally, GCF of Fractions for 3846/647, 5656/477 is 2/308619.