Greatest Common Factor of 4247/764, 1426/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4247/764, 1426/478

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 4247/764,1426/478

Given fractions are 4247/764,1426/478

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 4247,1426

Greatest Common Factor of Numerators i.e. GCF of 4247,1426 is 31 .

LCM of Denominators means LCM of 764,478 as per the given fractions.

LCM of 764,478 is 182596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4247,1426

GCF of Fractions 4247/764,1426/478 is 31/182596

31 4247, 1426
137, 46

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 4247,1426 By Matching Biggest Common Factor Method

Greatest Common Factor of 4247,1426 By Matching Biggest Common Factor Method

Factors of 4247

List of positive integer factors of 4247 that divides 4247 without a remainder.

1,31,137,4247

Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1,2,23,31,46,62,713,1426

Greatest Common Factor

We found the factors 4247,1426 . The biggest common factor number is the GCF number.
So the greatest common factor 4247,1426 is 31.

Lets's calculate LCM of 764,478

2 764, 478
382, 239

∴ So the LCM of the given numbers is 2 x 382 x 239 = 182596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/182596

Therefore, the GCF of Fractions 4247/764,1426/478 is 31/182596

Least Common Multiple of 764,478 with GCF Formula

Least Common Multiple of 764,478 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 764,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,478) = 2

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

GCF(764,478) x common factors =2 x 1 = 2

LCM(764,478) = ( 764 × 478 ) / 2

LCM(764,478) = 365192 / 2

LCM(764,478) = 182596


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 4247/764, 1426/478

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 4247/764, 1426/478?

Answer: GCF of Numerators as per given numbers 4247/764, 1426/478 is

GCF of Numerators i.e. for 4247,1426 is 31

LCM of denominators i.e. for 764,478 is 182596.

Thus, GCF of Fractions is 31/182596.Finally, GCF of Fractions for 4247/764, 1426/478 is 31/182596.