Greatest Common Factor of 841/59, 970/36, 568/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 841/59, 970/36, 568/461

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 841/59,970/36,568/461

Given fractions are 841/59,970/36,568/461

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 841,970,568

Greatest Common Factor of Numerators i.e. GCF of 841,970,568 is 1 .

LCM of Denominators means LCM of 59,36,461 as per the given fractions.

LCM of 59,36,461 is 979164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 841,970,568

GCF of Fractions 841/59,970/36,568/461 is 1/979164

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

Greatest Common Factor of 841,970,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,970,568 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 841,970,568 . The biggest common factor number is the GCF number.
So the greatest common factor 841,970,568 is 1.

Lets's calculate LCM of 59,36,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 979164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/979164

Therefore, the GCF of Fractions 841/59,970/36,568/461 is 1/979164

Least Common Multiple of 59,36,461 with GCF Formula

Least Common Multiple of 59,36,461 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 59,36,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,36,461) = 1

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

GCF(59,36,461) x common factors =1 x 1 = 1

LCM(59,36,461) = ( 59 × 36 × 461 ) / 1

LCM(59,36,461) = 979164 / 1

LCM(59,36,461) = 979164


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 841/59, 970/36, 568/461

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 841/59, 970/36, 568/461?

Answer: GCF of Numerators as per given numbers 841/59, 970/36, 568/461 is

GCF of Numerators i.e. for 841,970,568 is 1

LCM of denominators i.e. for 59,36,461 is 979164.

Thus, GCF of Fractions is 1/979164.Finally, GCF of Fractions for 841/59, 970/36, 568/461 is 1/979164.