Greatest Common Factor of 75/70, 92/95, 45/57, 74/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/70, 92/95, 45/57, 74/721

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 75/70,92/95,45/57,74/721

Given fractions are 75/70,92/95,45/57,74/721

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 75,92,45,74

Greatest Common Factor of Numerators i.e. GCF of 75,92,45,74 is 1 .

LCM of Denominators means LCM of 70,95,57,721 as per the given fractions.

LCM of 70,95,57,721 is 410970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,92,45,74

GCF of Fractions 75/70,92/95,45/57,74/721 is 1/410970

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

Greatest Common Factor of 75,92,45,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,92,45,74 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 75,92,45,74 . The biggest common factor number is the GCF number.
So the greatest common factor 75,92,45,74 is 1.

Lets's calculate LCM of 70,95,57,721

5 70, 95, 57, 721
7 14, 19, 57, 721
19 2, 19, 57, 103
2, 1, 3, 103

∴ So the LCM of the given numbers is 5 x 7 x 19 x 2 x 1 x 3 x 103 = 410970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410970

Therefore, the GCF of Fractions 75/70,92/95,45/57,74/721 is 1/410970

Least Common Multiple of 70,95,57,721 with GCF Formula

Least Common Multiple of 70,95,57,721 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 70,95,57,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,95,57,721) = 1

common factors(in case of two or more numbers have common factors) = 665

GCF(70,95,57,721) x common factors =1 x 665 = 665

LCM(70,95,57,721) = ( 70 × 95 × 57 × 721 ) / 665

LCM(70,95,57,721) = 273295050 / 665

LCM(70,95,57,721) = 410970


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 75/70, 92/95, 45/57, 74/721

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 75/70, 92/95, 45/57, 74/721?

Answer: GCF of Numerators as per given numbers 75/70, 92/95, 45/57, 74/721 is

GCF of Numerators i.e. for 75,92,45,74 is 1

LCM of denominators i.e. for 70,95,57,721 is 410970.

Thus, GCF of Fractions is 1/410970.Finally, GCF of Fractions for 75/70, 92/95, 45/57, 74/721 is 1/410970.