Greatest Common Factor of 364/85, 610/48, 739/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/85, 610/48, 739/351

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 364/85,610/48,739/351

Given fractions are 364/85,610/48,739/351

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 364,610,739

Greatest Common Factor of Numerators i.e. GCF of 364,610,739 is 1 .

LCM of Denominators means LCM of 85,48,351 as per the given fractions.

LCM of 85,48,351 is 477360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,610,739

GCF of Fractions 364/85,610/48,739/351 is 1/477360

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

Greatest Common Factor of 364,610,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,610,739 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

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 364,610,739 . The biggest common factor number is the GCF number.
So the greatest common factor 364,610,739 is 1.

Lets's calculate LCM of 85,48,351

3 85, 48, 351
85, 16, 117

∴ So the LCM of the given numbers is 3 x 85 x 16 x 117 = 477360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477360

Therefore, the GCF of Fractions 364/85,610/48,739/351 is 1/477360

Least Common Multiple of 85,48,351 with GCF Formula

Least Common Multiple of 85,48,351 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 85,48,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,48,351) = 1

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

GCF(85,48,351) x common factors =1 x 3 = 3

LCM(85,48,351) = ( 85 × 48 × 351 ) / 3

LCM(85,48,351) = 1432080 / 3

LCM(85,48,351) = 477360


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 364/85, 610/48, 739/351

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 364/85, 610/48, 739/351?

Answer: GCF of Numerators as per given numbers 364/85, 610/48, 739/351 is

GCF of Numerators i.e. for 364,610,739 is 1

LCM of denominators i.e. for 85,48,351 is 477360.

Thus, GCF of Fractions is 1/477360.Finally, GCF of Fractions for 364/85, 610/48, 739/351 is 1/477360.