Greatest Common Factor of 841/659, 307/580, 595/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 841/659, 307/580, 595/132

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 841/659,307/580,595/132

Given fractions are 841/659,307/580,595/132

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 841,307,595

Greatest Common Factor of Numerators i.e. GCF of 841,307,595 is 1 .

LCM of Denominators means LCM of 659,580,132 as per the given fractions.

LCM of 659,580,132 is 12613260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 841,307,595

GCF of Fractions 841/659,307/580,595/132 is 1/12613260

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

Greatest Common Factor of 841,307,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,307,595 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 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 841,307,595 . The biggest common factor number is the GCF number.
So the greatest common factor 841,307,595 is 1.

Lets's calculate LCM of 659,580,132

2 659, 580, 132
2 659, 290, 66
659, 145, 33

∴ So the LCM of the given numbers is 2 x 2 x 659 x 145 x 33 = 12613260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12613260

Therefore, the GCF of Fractions 841/659,307/580,595/132 is 1/12613260

Least Common Multiple of 659,580,132 with GCF Formula

Least Common Multiple of 659,580,132 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 659,580,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,580,132) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(659,580,132) x common factors =1 x 4 = 4

LCM(659,580,132) = ( 659 × 580 × 132 ) / 4

LCM(659,580,132) = 50453040 / 4

LCM(659,580,132) = 12613260


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 841/659, 307/580, 595/132

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 841/659, 307/580, 595/132?

Answer: GCF of Numerators as per given numbers 841/659, 307/580, 595/132 is

GCF of Numerators i.e. for 841,307,595 is 1

LCM of denominators i.e. for 659,580,132 is 12613260.

Thus, GCF of Fractions is 1/12613260.Finally, GCF of Fractions for 841/659, 307/580, 595/132 is 1/12613260.