Greatest Common Factor of 753/92, 866/1125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/92, 866/1125

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 753/92,866/1125

Given fractions are 753/92,866/1125

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 753,866

Greatest Common Factor of Numerators i.e. GCF of 753,866 is 1 .

LCM of Denominators means LCM of 92,1125 as per the given fractions.

LCM of 92,1125 is 103500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,866

GCF of Fractions 753/92,866/1125 is 1/103500

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

Greatest Common Factor of 753,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,866 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 753,866 . The biggest common factor number is the GCF number.
So the greatest common factor 753,866 is 1.

Lets's calculate LCM of 92,1125

Given numbers has no common factors except 1. So, there LCM is their product i.e 103500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103500

Therefore, the GCF of Fractions 753/92,866/1125 is 1/103500

Least Common Multiple of 92,1125 with GCF Formula

Least Common Multiple of 92,1125 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 92,1125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,1125) = 1

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

GCF(92,1125) x common factors =1 x 1 = 1

LCM(92,1125) = ( 92 × 1125 ) / 1

LCM(92,1125) = 103500 / 1

LCM(92,1125) = 103500


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 753/92, 866/1125

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 753/92, 866/1125?

Answer: GCF of Numerators as per given numbers 753/92, 866/1125 is

GCF of Numerators i.e. for 753,866 is 1

LCM of denominators i.e. for 92,1125 is 103500.

Thus, GCF of Fractions is 1/103500.Finally, GCF of Fractions for 753/92, 866/1125 is 1/103500.