Greatest Common Factor of 1092/563, 8125/4957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1092/563, 8125/4957

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 1092/563,8125/4957

Given fractions are 1092/563,8125/4957

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 1092,8125

Greatest Common Factor of Numerators i.e. GCF of 1092,8125 is 13 .

LCM of Denominators means LCM of 563,4957 as per the given fractions.

LCM of 563,4957 is 2790791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1092,8125

GCF of Fractions 1092/563,8125/4957 is 13/2790791

13 1092, 8125
84, 625

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1092,8125 By Matching Biggest Common Factor Method

Greatest Common Factor of 1092,8125 By Matching Biggest Common Factor Method

Factors of 1092

List of positive integer factors of 1092 that divides 1092 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1,5,13,25,65,125,325,625,1625,8125

Greatest Common Factor

We found the factors 1092,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 1092,8125 is 13.

Lets's calculate LCM of 563,4957

Given numbers has no common factors except 1. So, there LCM is their product i.e 2790791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2790791

Therefore, the GCF of Fractions 1092/563,8125/4957 is 13/2790791

Least Common Multiple of 563,4957 with GCF Formula

Least Common Multiple of 563,4957 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 563,4957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,4957) = 1

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

GCF(563,4957) x common factors =1 x 1 = 1

LCM(563,4957) = ( 563 × 4957 ) / 1

LCM(563,4957) = 2790791 / 1

LCM(563,4957) = 2790791


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 1092/563, 8125/4957

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 1092/563, 8125/4957?

Answer: GCF of Numerators as per given numbers 1092/563, 8125/4957 is

GCF of Numerators i.e. for 1092,8125 is 13

LCM of denominators i.e. for 563,4957 is 2790791.

Thus, GCF of Fractions is 13/2790791.Finally, GCF of Fractions for 1092/563, 8125/4957 is 13/2790791.