Greatest Common Factor of 904/964, 791/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/964, 791/301

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 904/964,791/301

Given fractions are 904/964,791/301

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 904,791

Greatest Common Factor of Numerators i.e. GCF of 904,791 is 113 .

LCM of Denominators means LCM of 964,301 as per the given fractions.

LCM of 964,301 is 290164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,791

GCF of Fractions 904/964,791/301 is 113/290164

113 904, 791
8, 7

∴ So the GCF of the given numbers is 113 = 113

Greatest Common Factor of 904,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,791 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 904,791 . The biggest common factor number is the GCF number.
So the greatest common factor 904,791 is 113.

Lets's calculate LCM of 964,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 290164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/290164

Therefore, the GCF of Fractions 904/964,791/301 is 113/290164

Least Common Multiple of 964,301 with GCF Formula

Least Common Multiple of 964,301 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 964,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,301) = 1

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

GCF(964,301) x common factors =1 x 1 = 1

LCM(964,301) = ( 964 × 301 ) / 1

LCM(964,301) = 290164 / 1

LCM(964,301) = 290164


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 904/964, 791/301

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 904/964, 791/301?

Answer: GCF of Numerators as per given numbers 904/964, 791/301 is

GCF of Numerators i.e. for 904,791 is 113

LCM of denominators i.e. for 964,301 is 290164.

Thus, GCF of Fractions is 113/290164.Finally, GCF of Fractions for 904/964, 791/301 is 113/290164.