Greatest Common Factor of 8563/730, 7691/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8563/730, 7691/948

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 8563/730,7691/948

Given fractions are 8563/730,7691/948

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 8563,7691

Greatest Common Factor of Numerators i.e. GCF of 8563,7691 is 1 .

LCM of Denominators means LCM of 730,948 as per the given fractions.

LCM of 730,948 is 346020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8563,7691

GCF of Fractions 8563/730,7691/948 is 1/346020

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

Greatest Common Factor of 8563,7691 By Matching Biggest Common Factor Method

Greatest Common Factor of 8563,7691 By Matching Biggest Common Factor Method

Factors of 8563

List of positive integer factors of 8563 that divides 8563 without a remainder.

1,8563

Factors of 7691

List of positive integer factors of 7691 that divides 7691 without a remainder.

1,7691

Greatest Common Factor

We found the factors 8563,7691 . The biggest common factor number is the GCF number.
So the greatest common factor 8563,7691 is 1.

Lets's calculate LCM of 730,948

2 730, 948
365, 474

∴ So the LCM of the given numbers is 2 x 365 x 474 = 346020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346020

Therefore, the GCF of Fractions 8563/730,7691/948 is 1/346020

Least Common Multiple of 730,948 with GCF Formula

Least Common Multiple of 730,948 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 730,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,948) = 2

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

GCF(730,948) x common factors =2 x 1 = 2

LCM(730,948) = ( 730 × 948 ) / 2

LCM(730,948) = 692040 / 2

LCM(730,948) = 346020


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 8563/730, 7691/948

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 8563/730, 7691/948?

Answer: GCF of Numerators as per given numbers 8563/730, 7691/948 is

GCF of Numerators i.e. for 8563,7691 is 1

LCM of denominators i.e. for 730,948 is 346020.

Thus, GCF of Fractions is 1/346020.Finally, GCF of Fractions for 8563/730, 7691/948 is 1/346020.