Greatest Common Factor of 925/68, 4540/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 925/68, 4540/765

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 925/68,4540/765

Given fractions are 925/68,4540/765

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 925,4540

Greatest Common Factor of Numerators i.e. GCF of 925,4540 is 5 .

LCM of Denominators means LCM of 68,765 as per the given fractions.

LCM of 68,765 is 3060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 925,4540

GCF of Fractions 925/68,4540/765 is 5/3060

5 925, 4540
185, 908

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

Greatest Common Factor of 925,4540 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,4540 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1,2,4,5,10,20,227,454,908,1135,2270,4540

Greatest Common Factor

We found the factors 925,4540 . The biggest common factor number is the GCF number.
So the greatest common factor 925,4540 is 5.

Lets's calculate LCM of 68,765

17 68, 765
4, 45

∴ So the LCM of the given numbers is 17 x 4 x 45 = 3060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3060

Therefore, the GCF of Fractions 925/68,4540/765 is 5/3060

Least Common Multiple of 68,765 with GCF Formula

Least Common Multiple of 68,765 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 68,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,765) = 17

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

GCF(68,765) x common factors =17 x 1 = 17

LCM(68,765) = ( 68 × 765 ) / 17

LCM(68,765) = 52020 / 17

LCM(68,765) = 3060


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 925/68, 4540/765

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 925/68, 4540/765?

Answer: GCF of Numerators as per given numbers 925/68, 4540/765 is

GCF of Numerators i.e. for 925,4540 is 5

LCM of denominators i.e. for 68,765 is 3060.

Thus, GCF of Fractions is 5/3060.Finally, GCF of Fractions for 925/68, 4540/765 is 5/3060.