Greatest Common Factor of 1825/267, 5010/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1825/267, 5010/768

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 1825/267,5010/768

Given fractions are 1825/267,5010/768

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 1825,5010

Greatest Common Factor of Numerators i.e. GCF of 1825,5010 is 5 .

LCM of Denominators means LCM of 267,768 as per the given fractions.

LCM of 267,768 is 68352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1825,5010

GCF of Fractions 1825/267,5010/768 is 5/68352

5 1825, 5010
365, 1002

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

Greatest Common Factor of 1825,5010 By Matching Biggest Common Factor Method

Greatest Common Factor of 1825,5010 By Matching Biggest Common Factor Method

Factors of 1825

List of positive integer factors of 1825 that divides 1825 without a remainder.

1,5,25,73,365,1825

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Greatest Common Factor

We found the factors 1825,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 1825,5010 is 5.

Lets's calculate LCM of 267,768

3 267, 768
89, 256

∴ So the LCM of the given numbers is 3 x 89 x 256 = 68352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/68352

Therefore, the GCF of Fractions 1825/267,5010/768 is 5/68352

Least Common Multiple of 267,768 with GCF Formula

Least Common Multiple of 267,768 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 267,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,768) = 3

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

GCF(267,768) x common factors =3 x 1 = 3

LCM(267,768) = ( 267 × 768 ) / 3

LCM(267,768) = 205056 / 3

LCM(267,768) = 68352


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 1825/267, 5010/768

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 1825/267, 5010/768?

Answer: GCF of Numerators as per given numbers 1825/267, 5010/768 is

GCF of Numerators i.e. for 1825,5010 is 5

LCM of denominators i.e. for 267,768 is 68352.

Thus, GCF of Fractions is 5/68352.Finally, GCF of Fractions for 1825/267, 5010/768 is 5/68352.