Greatest Common Factor of 75/154, 114/514, 722/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/154, 114/514, 722/930

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 75/154,114/514,722/930

Given fractions are 75/154,114/514,722/930

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 75,114,722

Greatest Common Factor of Numerators i.e. GCF of 75,114,722 is 1 .

LCM of Denominators means LCM of 154,514,930 as per the given fractions.

LCM of 154,514,930 is 18403770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,114,722

GCF of Fractions 75/154,114/514,722/930 is 1/18403770

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

Greatest Common Factor of 75,114,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,114,722 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 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 75,114,722 . The biggest common factor number is the GCF number.
So the greatest common factor 75,114,722 is 1.

Lets's calculate LCM of 154,514,930

2 154, 514, 930
77, 257, 465

∴ So the LCM of the given numbers is 2 x 77 x 257 x 465 = 18403770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18403770

Therefore, the GCF of Fractions 75/154,114/514,722/930 is 1/18403770

Least Common Multiple of 154,514,930 with GCF Formula

Least Common Multiple of 154,514,930 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 154,514,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,514,930) = 2

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

GCF(154,514,930) x common factors =2 x 2 = 4

LCM(154,514,930) = ( 154 × 514 × 930 ) / 4

LCM(154,514,930) = 73615080 / 4

LCM(154,514,930) = 18403770


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 75/154, 114/514, 722/930

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 75/154, 114/514, 722/930?

Answer: GCF of Numerators as per given numbers 75/154, 114/514, 722/930 is

GCF of Numerators i.e. for 75,114,722 is 1

LCM of denominators i.e. for 154,514,930 is 18403770.

Thus, GCF of Fractions is 1/18403770.Finally, GCF of Fractions for 75/154, 114/514, 722/930 is 1/18403770.