Greatest Common Factor of 4085/750, 7651/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4085/750, 7651/375

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 4085/750,7651/375

Given fractions are 4085/750,7651/375

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 4085,7651

Greatest Common Factor of Numerators i.e. GCF of 4085,7651 is 1 .

LCM of Denominators means LCM of 750,375 as per the given fractions.

LCM of 750,375 is 750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4085,7651

GCF of Fractions 4085/750,7651/375 is 1/750

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

Greatest Common Factor of 4085,7651 By Matching Biggest Common Factor Method

Greatest Common Factor of 4085,7651 By Matching Biggest Common Factor Method

Factors of 4085

List of positive integer factors of 4085 that divides 4085 without a remainder.

1,5,19,43,95,215,817,4085

Factors of 7651

List of positive integer factors of 7651 that divides 7651 without a remainder.

1,7,1093,7651

Greatest Common Factor

We found the factors 4085,7651 . The biggest common factor number is the GCF number.
So the greatest common factor 4085,7651 is 1.

Lets's calculate LCM of 750,375

3 750, 375
5 250, 125
5 50, 25
5 10, 5
2, 1

∴ So the LCM of the given numbers is 3 x 5 x 5 x 5 x 2 x 1 = 750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/750

Therefore, the GCF of Fractions 4085/750,7651/375 is 1/750

Least Common Multiple of 750,375 with GCF Formula

Least Common Multiple of 750,375 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 750,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,375) = 375

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

GCF(750,375) x common factors =375 x 1 = 375

LCM(750,375) = ( 750 × 375 ) / 375

LCM(750,375) = 281250 / 375

LCM(750,375) = 750


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 4085/750, 7651/375

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 4085/750, 7651/375?

Answer: GCF of Numerators as per given numbers 4085/750, 7651/375 is

GCF of Numerators i.e. for 4085,7651 is 1

LCM of denominators i.e. for 750,375 is 750.

Thus, GCF of Fractions is 1/750.Finally, GCF of Fractions for 4085/750, 7651/375 is 1/750.