Greatest Common Factor of 895/92, 349/82, 959/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 895/92, 349/82, 959/375

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 895/92,349/82,959/375

Given fractions are 895/92,349/82,959/375

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 895,349,959

Greatest Common Factor of Numerators i.e. GCF of 895,349,959 is 1 .

LCM of Denominators means LCM of 92,82,375 as per the given fractions.

LCM of 92,82,375 is 1414500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 895,349,959

GCF of Fractions 895/92,349/82,959/375 is 1/1414500

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

Greatest Common Factor of 895,349,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,349,959 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 895,349,959 . The biggest common factor number is the GCF number.
So the greatest common factor 895,349,959 is 1.

Lets's calculate LCM of 92,82,375

2 92, 82, 375
46, 41, 375

∴ So the LCM of the given numbers is 2 x 46 x 41 x 375 = 1414500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1414500

Therefore, the GCF of Fractions 895/92,349/82,959/375 is 1/1414500

Least Common Multiple of 92,82,375 with GCF Formula

Least Common Multiple of 92,82,375 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 92,82,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,82,375) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(92,82,375) x common factors =1 x 2 = 2

LCM(92,82,375) = ( 92 × 82 × 375 ) / 2

LCM(92,82,375) = 2829000 / 2

LCM(92,82,375) = 1414500


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 895/92, 349/82, 959/375

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 895/92, 349/82, 959/375?

Answer: GCF of Numerators as per given numbers 895/92, 349/82, 959/375 is

GCF of Numerators i.e. for 895,349,959 is 1

LCM of denominators i.e. for 92,82,375 is 1414500.

Thus, GCF of Fractions is 1/1414500.Finally, GCF of Fractions for 895/92, 349/82, 959/375 is 1/1414500.