Greatest Common Factor of 8553/141, 2519/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8553/141, 2519/343

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 8553/141,2519/343

Given fractions are 8553/141,2519/343

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 8553,2519

Greatest Common Factor of Numerators i.e. GCF of 8553,2519 is 1 .

LCM of Denominators means LCM of 141,343 as per the given fractions.

LCM of 141,343 is 48363 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8553,2519

GCF of Fractions 8553/141,2519/343 is 1/48363

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

Greatest Common Factor of 8553,2519 By Matching Biggest Common Factor Method

Greatest Common Factor of 8553,2519 By Matching Biggest Common Factor Method

Factors of 8553

List of positive integer factors of 8553 that divides 8553 without a remainder.

1,3,2851,8553

Factors of 2519

List of positive integer factors of 2519 that divides 2519 without a remainder.

1,11,229,2519

Greatest Common Factor

We found the factors 8553,2519 . The biggest common factor number is the GCF number.
So the greatest common factor 8553,2519 is 1.

Lets's calculate LCM of 141,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 48363

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48363

Therefore, the GCF of Fractions 8553/141,2519/343 is 1/48363

Least Common Multiple of 141,343 with GCF Formula

Least Common Multiple of 141,343 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 141,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,343) = 1

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

GCF(141,343) x common factors =1 x 1 = 1

LCM(141,343) = ( 141 × 343 ) / 1

LCM(141,343) = 48363 / 1

LCM(141,343) = 48363


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 8553/141, 2519/343

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 8553/141, 2519/343?

Answer: GCF of Numerators as per given numbers 8553/141, 2519/343 is

GCF of Numerators i.e. for 8553,2519 is 1

LCM of denominators i.e. for 141,343 is 48363.

Thus, GCF of Fractions is 1/48363.Finally, GCF of Fractions for 8553/141, 2519/343 is 1/48363.