Greatest Common Factor of 75/65, 65/61, 325/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/65, 65/61, 325/268

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 75/65,65/61,325/268

Given fractions are 75/65,65/61,325/268

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 75,65,325

Greatest Common Factor of Numerators i.e. GCF of 75,65,325 is 5 .

LCM of Denominators means LCM of 65,61,268 as per the given fractions.

LCM of 65,61,268 is 1062620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,65,325

GCF of Fractions 75/65,65/61,325/268 is 5/1062620

5 75, 65, 325
15, 13, 65

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 75,65,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,65,325 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 75,65,325 . The biggest common factor number is the GCF number.
So the greatest common factor 75,65,325 is 5.

Lets's calculate LCM of 65,61,268

Given numbers has no common factors except 1. So, there LCM is their product i.e 1062620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1062620

Therefore, the GCF of Fractions 75/65,65/61,325/268 is 5/1062620

Least Common Multiple of 65,61,268 with GCF Formula

Least Common Multiple of 65,61,268 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 65,61,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,61,268) = 1

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

GCF(65,61,268) x common factors =1 x 1 = 1

LCM(65,61,268) = ( 65 × 61 × 268 ) / 1

LCM(65,61,268) = 1062620 / 1

LCM(65,61,268) = 1062620


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 75/65, 65/61, 325/268

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 75/65, 65/61, 325/268?

Answer: GCF of Numerators as per given numbers 75/65, 65/61, 325/268 is

GCF of Numerators i.e. for 75,65,325 is 5

LCM of denominators i.e. for 65,61,268 is 1062620.

Thus, GCF of Fractions is 5/1062620.Finally, GCF of Fractions for 75/65, 65/61, 325/268 is 5/1062620.