Greatest Common Factor of 6688/842, 5716/3736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6688/842, 5716/3736

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 6688/842,5716/3736

Given fractions are 6688/842,5716/3736

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 6688,5716

Greatest Common Factor of Numerators i.e. GCF of 6688,5716 is 4 .

LCM of Denominators means LCM of 842,3736 as per the given fractions.

LCM of 842,3736 is 1572856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6688,5716

GCF of Fractions 6688/842,5716/3736 is 4/1572856

2 6688, 5716
2 3344, 2858
1672, 1429

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

Greatest Common Factor of 6688,5716 By Matching Biggest Common Factor Method

Greatest Common Factor of 6688,5716 By Matching Biggest Common Factor Method

Factors of 6688

List of positive integer factors of 6688 that divides 6688 without a remainder.

1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1,2,4,1429,2858,5716

Greatest Common Factor

We found the factors 6688,5716 . The biggest common factor number is the GCF number.
So the greatest common factor 6688,5716 is 4.

Lets's calculate LCM of 842,3736

2 842, 3736
421, 1868

∴ So the LCM of the given numbers is 2 x 421 x 1868 = 1572856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1572856

Therefore, the GCF of Fractions 6688/842,5716/3736 is 4/1572856

Least Common Multiple of 842,3736 with GCF Formula

Least Common Multiple of 842,3736 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 842,3736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,3736) = 2

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

GCF(842,3736) x common factors =2 x 1 = 2

LCM(842,3736) = ( 842 × 3736 ) / 2

LCM(842,3736) = 3145712 / 2

LCM(842,3736) = 1572856


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 6688/842, 5716/3736

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 6688/842, 5716/3736?

Answer: GCF of Numerators as per given numbers 6688/842, 5716/3736 is

GCF of Numerators i.e. for 6688,5716 is 4

LCM of denominators i.e. for 842,3736 is 1572856.

Thus, GCF of Fractions is 4/1572856.Finally, GCF of Fractions for 6688/842, 5716/3736 is 4/1572856.