Greatest Common Factor of 6731/562, 7176/3214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6731/562, 7176/3214

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 6731/562,7176/3214

Given fractions are 6731/562,7176/3214

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 6731,7176

Greatest Common Factor of Numerators i.e. GCF of 6731,7176 is 1 .

LCM of Denominators means LCM of 562,3214 as per the given fractions.

LCM of 562,3214 is 903134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6731,7176

GCF of Fractions 6731/562,7176/3214 is 1/903134

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6731,7176 By Matching Biggest Common Factor Method

Greatest Common Factor of 6731,7176 By Matching Biggest Common Factor Method

Factors of 6731

List of positive integer factors of 6731 that divides 6731 without a remainder.

1,53,127,6731

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176

Greatest Common Factor

We found the factors 6731,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 6731,7176 is 1.

Lets's calculate LCM of 562,3214

2 562, 3214
281, 1607

∴ So the LCM of the given numbers is 2 x 281 x 1607 = 903134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/903134

Therefore, the GCF of Fractions 6731/562,7176/3214 is 1/903134

Least Common Multiple of 562,3214 with GCF Formula

Least Common Multiple of 562,3214 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 562,3214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,3214) = 2

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

GCF(562,3214) x common factors =2 x 1 = 2

LCM(562,3214) = ( 562 × 3214 ) / 2

LCM(562,3214) = 1806268 / 2

LCM(562,3214) = 903134


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 6731/562, 7176/3214

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 6731/562, 7176/3214?

Answer: GCF of Numerators as per given numbers 6731/562, 7176/3214 is

GCF of Numerators i.e. for 6731,7176 is 1

LCM of denominators i.e. for 562,3214 is 903134.

Thus, GCF of Fractions is 1/903134.Finally, GCF of Fractions for 6731/562, 7176/3214 is 1/903134.