Greatest Common Factor of 795/831, 504/541, 901/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/831, 504/541, 901/240

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 795/831,504/541,901/240

Given fractions are 795/831,504/541,901/240

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 795,504,901

Greatest Common Factor of Numerators i.e. GCF of 795,504,901 is 1 .

LCM of Denominators means LCM of 831,541,240 as per the given fractions.

LCM of 831,541,240 is 35965680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,504,901

GCF of Fractions 795/831,504/541,901/240 is 1/35965680

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

Greatest Common Factor of 795,504,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,504,901 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 795,504,901 . The biggest common factor number is the GCF number.
So the greatest common factor 795,504,901 is 1.

Lets's calculate LCM of 831,541,240

3 831, 541, 240
277, 541, 80

∴ So the LCM of the given numbers is 3 x 277 x 541 x 80 = 35965680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35965680

Therefore, the GCF of Fractions 795/831,504/541,901/240 is 1/35965680

Least Common Multiple of 831,541,240 with GCF Formula

Least Common Multiple of 831,541,240 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 831,541,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,541,240) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(831,541,240) x common factors =1 x 3 = 3

LCM(831,541,240) = ( 831 × 541 × 240 ) / 3

LCM(831,541,240) = 107897040 / 3

LCM(831,541,240) = 35965680


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 795/831, 504/541, 901/240

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 795/831, 504/541, 901/240?

Answer: GCF of Numerators as per given numbers 795/831, 504/541, 901/240 is

GCF of Numerators i.e. for 795,504,901 is 1

LCM of denominators i.e. for 831,541,240 is 35965680.

Thus, GCF of Fractions is 1/35965680.Finally, GCF of Fractions for 795/831, 504/541, 901/240 is 1/35965680.