Greatest Common Factor of 8761/562, 8438/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8761/562, 8438/312

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 8761/562,8438/312

Given fractions are 8761/562,8438/312

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 8761,8438

Greatest Common Factor of Numerators i.e. GCF of 8761,8438 is 1 .

LCM of Denominators means LCM of 562,312 as per the given fractions.

LCM of 562,312 is 87672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8761,8438

GCF of Fractions 8761/562,8438/312 is 1/87672

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

Greatest Common Factor of 8761,8438 By Matching Biggest Common Factor Method

Greatest Common Factor of 8761,8438 By Matching Biggest Common Factor Method

Factors of 8761

List of positive integer factors of 8761 that divides 8761 without a remainder.

1,8761

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1,2,4219,8438

Greatest Common Factor

We found the factors 8761,8438 . The biggest common factor number is the GCF number.
So the greatest common factor 8761,8438 is 1.

Lets's calculate LCM of 562,312

2 562, 312
281, 156

∴ So the LCM of the given numbers is 2 x 281 x 156 = 87672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87672

Therefore, the GCF of Fractions 8761/562,8438/312 is 1/87672

Least Common Multiple of 562,312 with GCF Formula

Least Common Multiple of 562,312 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 562,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,312) = 2

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

GCF(562,312) x common factors =2 x 1 = 2

LCM(562,312) = ( 562 × 312 ) / 2

LCM(562,312) = 175344 / 2

LCM(562,312) = 87672


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 8761/562, 8438/312

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 8761/562, 8438/312?

Answer: GCF of Numerators as per given numbers 8761/562, 8438/312 is

GCF of Numerators i.e. for 8761,8438 is 1

LCM of denominators i.e. for 562,312 is 87672.

Thus, GCF of Fractions is 1/87672.Finally, GCF of Fractions for 8761/562, 8438/312 is 1/87672.