Greatest Common Factor of 748/25, 748/40, 913/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/25, 748/40, 913/601

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 748/25,748/40,913/601

Given fractions are 748/25,748/40,913/601

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 748,748,913

Greatest Common Factor of Numerators i.e. GCF of 748,748,913 is 11 .

LCM of Denominators means LCM of 25,40,601 as per the given fractions.

LCM of 25,40,601 is 120200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,748,913

GCF of Fractions 748/25,748/40,913/601 is 11/120200

11 748, 748, 913
68, 68, 83

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 748,748,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,748,913 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 748,748,913 . The biggest common factor number is the GCF number.
So the greatest common factor 748,748,913 is 11.

Lets's calculate LCM of 25,40,601

5 25, 40, 601
5, 8, 601

∴ So the LCM of the given numbers is 5 x 5 x 8 x 601 = 120200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/120200

Therefore, the GCF of Fractions 748/25,748/40,913/601 is 11/120200

Least Common Multiple of 25,40,601 with GCF Formula

Least Common Multiple of 25,40,601 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 25,40,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,40,601) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,40,601) x common factors =1 x 5 = 5

LCM(25,40,601) = ( 25 × 40 × 601 ) / 5

LCM(25,40,601) = 601000 / 5

LCM(25,40,601) = 120200


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 748/25, 748/40, 913/601

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 748/25, 748/40, 913/601?

Answer: GCF of Numerators as per given numbers 748/25, 748/40, 913/601 is

GCF of Numerators i.e. for 748,748,913 is 11

LCM of denominators i.e. for 25,40,601 is 120200.

Thus, GCF of Fractions is 11/120200.Finally, GCF of Fractions for 748/25, 748/40, 913/601 is 11/120200.