Greatest Common Factor of 356/6496, 556/2978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 356/6496, 556/2978

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 356/6496,556/2978

Given fractions are 356/6496,556/2978

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 356,556

Greatest Common Factor of Numerators i.e. GCF of 356,556 is 4 .

LCM of Denominators means LCM of 6496,2978 as per the given fractions.

LCM of 6496,2978 is 9672544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 356,556

GCF of Fractions 356/6496,556/2978 is 4/9672544

2 356, 556
2 178, 278
89, 139

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

Greatest Common Factor of 356,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,556 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 356,556 . The biggest common factor number is the GCF number.
So the greatest common factor 356,556 is 4.

Lets's calculate LCM of 6496,2978

2 6496, 2978
3248, 1489

∴ So the LCM of the given numbers is 2 x 3248 x 1489 = 9672544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9672544

Therefore, the GCF of Fractions 356/6496,556/2978 is 4/9672544

Least Common Multiple of 6496,2978 with GCF Formula

Least Common Multiple of 6496,2978 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 6496,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6496,2978) = 2

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

GCF(6496,2978) x common factors =2 x 1 = 2

LCM(6496,2978) = ( 6496 × 2978 ) / 2

LCM(6496,2978) = 19345088 / 2

LCM(6496,2978) = 9672544


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 356/6496, 556/2978

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 356/6496, 556/2978?

Answer: GCF of Numerators as per given numbers 356/6496, 556/2978 is

GCF of Numerators i.e. for 356,556 is 4

LCM of denominators i.e. for 6496,2978 is 9672544.

Thus, GCF of Fractions is 4/9672544.Finally, GCF of Fractions for 356/6496, 556/2978 is 4/9672544.