Greatest Common Factor of 716/4542, 688/5532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 716/4542, 688/5532

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 716/4542,688/5532

Given fractions are 716/4542,688/5532

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 716,688

Greatest Common Factor of Numerators i.e. GCF of 716,688 is 4 .

LCM of Denominators means LCM of 4542,5532 as per the given fractions.

LCM of 4542,5532 is 4187724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 716,688

GCF of Fractions 716/4542,688/5532 is 4/4187724

2 716, 688
2 358, 344
179, 172

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

Greatest Common Factor of 716,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,688 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 716,688 . The biggest common factor number is the GCF number.
So the greatest common factor 716,688 is 4.

Lets's calculate LCM of 4542,5532

2 4542, 5532
3 2271, 2766
757, 922

∴ So the LCM of the given numbers is 2 x 3 x 757 x 922 = 4187724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4187724

Therefore, the GCF of Fractions 716/4542,688/5532 is 4/4187724

Least Common Multiple of 4542,5532 with GCF Formula

Least Common Multiple of 4542,5532 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 4542,5532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4542,5532) = 6

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

GCF(4542,5532) x common factors =6 x 1 = 6

LCM(4542,5532) = ( 4542 × 5532 ) / 6

LCM(4542,5532) = 25126344 / 6

LCM(4542,5532) = 4187724


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 716/4542, 688/5532

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 716/4542, 688/5532?

Answer: GCF of Numerators as per given numbers 716/4542, 688/5532 is

GCF of Numerators i.e. for 716,688 is 4

LCM of denominators i.e. for 4542,5532 is 4187724.

Thus, GCF of Fractions is 4/4187724.Finally, GCF of Fractions for 716/4542, 688/5532 is 4/4187724.