Greatest Common Factor of 1316/83, 9009/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1316/83, 9009/521

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 1316/83,9009/521

Given fractions are 1316/83,9009/521

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 1316,9009

Greatest Common Factor of Numerators i.e. GCF of 1316,9009 is 7 .

LCM of Denominators means LCM of 83,521 as per the given fractions.

LCM of 83,521 is 43243 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1316,9009

GCF of Fractions 1316/83,9009/521 is 7/43243

7 1316, 9009
188, 1287

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1316,9009 By Matching Biggest Common Factor Method

Greatest Common Factor of 1316,9009 By Matching Biggest Common Factor Method

Factors of 1316

List of positive integer factors of 1316 that divides 1316 without a remainder.

1,2,4,7,14,28,47,94,188,329,658,1316

Factors of 9009

List of positive integer factors of 9009 that divides 9009 without a remainder.

1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009

Greatest Common Factor

We found the factors 1316,9009 . The biggest common factor number is the GCF number.
So the greatest common factor 1316,9009 is 7.

Lets's calculate LCM of 83,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 43243

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/43243

Therefore, the GCF of Fractions 1316/83,9009/521 is 7/43243

Least Common Multiple of 83,521 with GCF Formula

Least Common Multiple of 83,521 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 83,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,521) = 1

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

GCF(83,521) x common factors =1 x 1 = 1

LCM(83,521) = ( 83 × 521 ) / 1

LCM(83,521) = 43243 / 1

LCM(83,521) = 43243


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 1316/83, 9009/521

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 1316/83, 9009/521?

Answer: GCF of Numerators as per given numbers 1316/83, 9009/521 is

GCF of Numerators i.e. for 1316,9009 is 7

LCM of denominators i.e. for 83,521 is 43243.

Thus, GCF of Fractions is 7/43243.Finally, GCF of Fractions for 1316/83, 9009/521 is 7/43243.