Greatest Common Factor of 795/61, 859/44, 739/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/61, 859/44, 739/202

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 795/61,859/44,739/202

Given fractions are 795/61,859/44,739/202

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 795,859,739

Greatest Common Factor of Numerators i.e. GCF of 795,859,739 is 1 .

LCM of Denominators means LCM of 61,44,202 as per the given fractions.

LCM of 61,44,202 is 271084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,859,739

GCF of Fractions 795/61,859/44,739/202 is 1/271084

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

Greatest Common Factor of 795,859,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,859,739 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 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 795,859,739 . The biggest common factor number is the GCF number.
So the greatest common factor 795,859,739 is 1.

Lets's calculate LCM of 61,44,202

2 61, 44, 202
61, 22, 101

∴ So the LCM of the given numbers is 2 x 61 x 22 x 101 = 271084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271084

Therefore, the GCF of Fractions 795/61,859/44,739/202 is 1/271084

Least Common Multiple of 61,44,202 with GCF Formula

Least Common Multiple of 61,44,202 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 61,44,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,44,202) = 1

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

GCF(61,44,202) x common factors =1 x 2 = 2

LCM(61,44,202) = ( 61 × 44 × 202 ) / 2

LCM(61,44,202) = 542168 / 2

LCM(61,44,202) = 271084


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 795/61, 859/44, 739/202

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 795/61, 859/44, 739/202?

Answer: GCF of Numerators as per given numbers 795/61, 859/44, 739/202 is

GCF of Numerators i.e. for 795,859,739 is 1

LCM of denominators i.e. for 61,44,202 is 271084.

Thus, GCF of Fractions is 1/271084.Finally, GCF of Fractions for 795/61, 859/44, 739/202 is 1/271084.