Greatest Common Factor of 865/37, 160/70, 292/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/37, 160/70, 292/853

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 865/37,160/70,292/853

Given fractions are 865/37,160/70,292/853

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 865,160,292

Greatest Common Factor of Numerators i.e. GCF of 865,160,292 is 1 .

LCM of Denominators means LCM of 37,70,853 as per the given fractions.

LCM of 37,70,853 is 2209270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,160,292

GCF of Fractions 865/37,160/70,292/853 is 1/2209270

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

Greatest Common Factor of 865,160,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,160,292 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 865,160,292 . The biggest common factor number is the GCF number.
So the greatest common factor 865,160,292 is 1.

Lets's calculate LCM of 37,70,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 2209270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2209270

Therefore, the GCF of Fractions 865/37,160/70,292/853 is 1/2209270

Least Common Multiple of 37,70,853 with GCF Formula

Least Common Multiple of 37,70,853 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 37,70,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,70,853) = 1

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

GCF(37,70,853) x common factors =1 x 1 = 1

LCM(37,70,853) = ( 37 × 70 × 853 ) / 1

LCM(37,70,853) = 2209270 / 1

LCM(37,70,853) = 2209270


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 865/37, 160/70, 292/853

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 865/37, 160/70, 292/853?

Answer: GCF of Numerators as per given numbers 865/37, 160/70, 292/853 is

GCF of Numerators i.e. for 865,160,292 is 1

LCM of denominators i.e. for 37,70,853 is 2209270.

Thus, GCF of Fractions is 1/2209270.Finally, GCF of Fractions for 865/37, 160/70, 292/853 is 1/2209270.