Greatest Common Factor of 8543/277, 4904/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8543/277, 4904/492

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 8543/277,4904/492

Given fractions are 8543/277,4904/492

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 8543,4904

Greatest Common Factor of Numerators i.e. GCF of 8543,4904 is 1 .

LCM of Denominators means LCM of 277,492 as per the given fractions.

LCM of 277,492 is 136284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8543,4904

GCF of Fractions 8543/277,4904/492 is 1/136284

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

Greatest Common Factor of 8543,4904 By Matching Biggest Common Factor Method

Greatest Common Factor of 8543,4904 By Matching Biggest Common Factor Method

Factors of 8543

List of positive integer factors of 8543 that divides 8543 without a remainder.

1,8543

Factors of 4904

List of positive integer factors of 4904 that divides 4904 without a remainder.

1,2,4,8,613,1226,2452,4904

Greatest Common Factor

We found the factors 8543,4904 . The biggest common factor number is the GCF number.
So the greatest common factor 8543,4904 is 1.

Lets's calculate LCM of 277,492

Given numbers has no common factors except 1. So, there LCM is their product i.e 136284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136284

Therefore, the GCF of Fractions 8543/277,4904/492 is 1/136284

Least Common Multiple of 277,492 with GCF Formula

Least Common Multiple of 277,492 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 277,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,492) = 1

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

GCF(277,492) x common factors =1 x 1 = 1

LCM(277,492) = ( 277 × 492 ) / 1

LCM(277,492) = 136284 / 1

LCM(277,492) = 136284


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 8543/277, 4904/492

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 8543/277, 4904/492?

Answer: GCF of Numerators as per given numbers 8543/277, 4904/492 is

GCF of Numerators i.e. for 8543,4904 is 1

LCM of denominators i.e. for 277,492 is 136284.

Thus, GCF of Fractions is 1/136284.Finally, GCF of Fractions for 8543/277, 4904/492 is 1/136284.