Greatest Common Factor of 542/715, 8320/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/715, 8320/269

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 542/715,8320/269

Given fractions are 542/715,8320/269

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 542,8320

Greatest Common Factor of Numerators i.e. GCF of 542,8320 is 2 .

LCM of Denominators means LCM of 715,269 as per the given fractions.

LCM of 715,269 is 192335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,8320

GCF of Fractions 542/715,8320/269 is 2/192335

2 542, 8320
271, 4160

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 542,8320 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,8320 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Greatest Common Factor

We found the factors 542,8320 . The biggest common factor number is the GCF number.
So the greatest common factor 542,8320 is 2.

Lets's calculate LCM of 715,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 192335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192335

Therefore, the GCF of Fractions 542/715,8320/269 is 2/192335

Least Common Multiple of 715,269 with GCF Formula

Least Common Multiple of 715,269 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 715,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,269) = 1

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

GCF(715,269) x common factors =1 x 1 = 1

LCM(715,269) = ( 715 × 269 ) / 1

LCM(715,269) = 192335 / 1

LCM(715,269) = 192335


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 542/715, 8320/269

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 542/715, 8320/269?

Answer: GCF of Numerators as per given numbers 542/715, 8320/269 is

GCF of Numerators i.e. for 542,8320 is 2

LCM of denominators i.e. for 715,269 is 192335.

Thus, GCF of Fractions is 2/192335.Finally, GCF of Fractions for 542/715, 8320/269 is 2/192335.