Greatest Common Factor of 70/74, 54/72, 748/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/74, 54/72, 748/71

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 70/74,54/72,748/71

Given fractions are 70/74,54/72,748/71

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 70,54,748

Greatest Common Factor of Numerators i.e. GCF of 70,54,748 is 2 .

LCM of Denominators means LCM of 74,72,71 as per the given fractions.

LCM of 74,72,71 is 189144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,54,748

GCF of Fractions 70/74,54/72,748/71 is 2/189144

2 70, 54, 748
35, 27, 374

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 70,54,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,54,748 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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

Greatest Common Factor

We found the factors 70,54,748 . The biggest common factor number is the GCF number.
So the greatest common factor 70,54,748 is 2.

Lets's calculate LCM of 74,72,71

2 74, 72, 71
37, 36, 71

∴ So the LCM of the given numbers is 2 x 37 x 36 x 71 = 189144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189144

Therefore, the GCF of Fractions 70/74,54/72,748/71 is 2/189144

Least Common Multiple of 74,72,71 with GCF Formula

Least Common Multiple of 74,72,71 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 74,72,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,72,71) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,72,71) x common factors =1 x 2 = 2

LCM(74,72,71) = ( 74 × 72 × 71 ) / 2

LCM(74,72,71) = 378288 / 2

LCM(74,72,71) = 189144


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 70/74, 54/72, 748/71

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 70/74, 54/72, 748/71?

Answer: GCF of Numerators as per given numbers 70/74, 54/72, 748/71 is

GCF of Numerators i.e. for 70,54,748 is 2

LCM of denominators i.e. for 74,72,71 is 189144.

Thus, GCF of Fractions is 2/189144.Finally, GCF of Fractions for 70/74, 54/72, 748/71 is 2/189144.