Greatest Common Factor of 61/65, 32/52, 715/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/65, 32/52, 715/458

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 61/65,32/52,715/458

Given fractions are 61/65,32/52,715/458

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 61,32,715

Greatest Common Factor of Numerators i.e. GCF of 61,32,715 is 1 .

LCM of Denominators means LCM of 65,52,458 as per the given fractions.

LCM of 65,52,458 is 59540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,32,715

GCF of Fractions 61/65,32/52,715/458 is 1/59540

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

Greatest Common Factor of 61,32,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,32,715 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 61,32,715 . The biggest common factor number is the GCF number.
So the greatest common factor 61,32,715 is 1.

Lets's calculate LCM of 65,52,458

2 65, 52, 458
13 65, 26, 229
5, 2, 229

∴ So the LCM of the given numbers is 2 x 13 x 5 x 2 x 229 = 59540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59540

Therefore, the GCF of Fractions 61/65,32/52,715/458 is 1/59540

Least Common Multiple of 65,52,458 with GCF Formula

Least Common Multiple of 65,52,458 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 65,52,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,52,458) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(65,52,458) x common factors =1 x 26 = 26

LCM(65,52,458) = ( 65 × 52 × 458 ) / 26

LCM(65,52,458) = 1548040 / 26

LCM(65,52,458) = 59540


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 61/65, 32/52, 715/458

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 61/65, 32/52, 715/458?

Answer: GCF of Numerators as per given numbers 61/65, 32/52, 715/458 is

GCF of Numerators i.e. for 61,32,715 is 1

LCM of denominators i.e. for 65,52,458 is 59540.

Thus, GCF of Fractions is 1/59540.Finally, GCF of Fractions for 61/65, 32/52, 715/458 is 1/59540.