Greatest Common Factor of 865/708, 117/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/708, 117/446

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 865/708,117/446

Given fractions are 865/708,117/446

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 865,117

Greatest Common Factor of Numerators i.e. GCF of 865,117 is 1 .

LCM of Denominators means LCM of 708,446 as per the given fractions.

LCM of 708,446 is 157884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,117

GCF of Fractions 865/708,117/446 is 1/157884

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

Greatest Common Factor of 865,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,117 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 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 865,117 . The biggest common factor number is the GCF number.
So the greatest common factor 865,117 is 1.

Lets's calculate LCM of 708,446

2 708, 446
354, 223

∴ So the LCM of the given numbers is 2 x 354 x 223 = 157884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157884

Therefore, the GCF of Fractions 865/708,117/446 is 1/157884

Least Common Multiple of 708,446 with GCF Formula

Least Common Multiple of 708,446 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 708,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,446) = 2

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

GCF(708,446) x common factors =2 x 1 = 2

LCM(708,446) = ( 708 × 446 ) / 2

LCM(708,446) = 315768 / 2

LCM(708,446) = 157884


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 865/708, 117/446

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 865/708, 117/446?

Answer: GCF of Numerators as per given numbers 865/708, 117/446 is

GCF of Numerators i.e. for 865,117 is 1

LCM of denominators i.e. for 708,446 is 157884.

Thus, GCF of Fractions is 1/157884.Finally, GCF of Fractions for 865/708, 117/446 is 1/157884.