Greatest Common Factor of 442/959, 517/546, 893/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/959, 517/546, 893/695

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 442/959,517/546,893/695

Given fractions are 442/959,517/546,893/695

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 442,517,893

Greatest Common Factor of Numerators i.e. GCF of 442,517,893 is 1 .

LCM of Denominators means LCM of 959,546,695 as per the given fractions.

LCM of 959,546,695 is 51987390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,517,893

GCF of Fractions 442/959,517/546,893/695 is 1/51987390

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

Greatest Common Factor of 442,517,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,517,893 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 442,517,893 . The biggest common factor number is the GCF number.
So the greatest common factor 442,517,893 is 1.

Lets's calculate LCM of 959,546,695

7 959, 546, 695
137, 78, 695

∴ So the LCM of the given numbers is 7 x 137 x 78 x 695 = 51987390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51987390

Therefore, the GCF of Fractions 442/959,517/546,893/695 is 1/51987390

Least Common Multiple of 959,546,695 with GCF Formula

Least Common Multiple of 959,546,695 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 959,546,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,546,695) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(959,546,695) x common factors =1 x 7 = 7

LCM(959,546,695) = ( 959 × 546 × 695 ) / 7

LCM(959,546,695) = 363911730 / 7

LCM(959,546,695) = 51987390


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 442/959, 517/546, 893/695

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 442/959, 517/546, 893/695?

Answer: GCF of Numerators as per given numbers 442/959, 517/546, 893/695 is

GCF of Numerators i.e. for 442,517,893 is 1

LCM of denominators i.e. for 959,546,695 is 51987390.

Thus, GCF of Fractions is 1/51987390.Finally, GCF of Fractions for 442/959, 517/546, 893/695 is 1/51987390.