Greatest Common Factor of 268/42, 5656/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/42, 5656/246

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 268/42,5656/246

Given fractions are 268/42,5656/246

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 268,5656

Greatest Common Factor of Numerators i.e. GCF of 268,5656 is 4 .

LCM of Denominators means LCM of 42,246 as per the given fractions.

LCM of 42,246 is 1722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,5656

GCF of Fractions 268/42,5656/246 is 4/1722

2 268, 5656
2 134, 2828
67, 1414

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

Greatest Common Factor of 268,5656 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,5656 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

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 268,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 268,5656 is 4.

Lets's calculate LCM of 42,246

2 42, 246
3 21, 123
7, 41

∴ So the LCM of the given numbers is 2 x 3 x 7 x 41 = 1722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1722

Therefore, the GCF of Fractions 268/42,5656/246 is 4/1722

Least Common Multiple of 42,246 with GCF Formula

Least Common Multiple of 42,246 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 42,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,246) = 6

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

GCF(42,246) x common factors =6 x 1 = 6

LCM(42,246) = ( 42 × 246 ) / 6

LCM(42,246) = 10332 / 6

LCM(42,246) = 1722


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 268/42, 5656/246

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 268/42, 5656/246?

Answer: GCF of Numerators as per given numbers 268/42, 5656/246 is

GCF of Numerators i.e. for 268,5656 is 4

LCM of denominators i.e. for 42,246 is 1722.

Thus, GCF of Fractions is 4/1722.Finally, GCF of Fractions for 268/42, 5656/246 is 4/1722.