Greatest Common Factor of 123/82, 695/20, 750/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/82, 695/20, 750/228

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 123/82,695/20,750/228

Given fractions are 123/82,695/20,750/228

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 123,695,750

Greatest Common Factor of Numerators i.e. GCF of 123,695,750 is 1 .

LCM of Denominators means LCM of 82,20,228 as per the given fractions.

LCM of 82,20,228 is 46740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,695,750

GCF of Fractions 123/82,695/20,750/228 is 1/46740

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

Greatest Common Factor of 123,695,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,695,750 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 123,695,750 . The biggest common factor number is the GCF number.
So the greatest common factor 123,695,750 is 1.

Lets's calculate LCM of 82,20,228

2 82, 20, 228
2 41, 10, 114
41, 5, 57

∴ So the LCM of the given numbers is 2 x 2 x 41 x 5 x 57 = 46740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46740

Therefore, the GCF of Fractions 123/82,695/20,750/228 is 1/46740

Least Common Multiple of 82,20,228 with GCF Formula

Least Common Multiple of 82,20,228 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 82,20,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,20,228) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(82,20,228) x common factors =2 x 4 = 8

LCM(82,20,228) = ( 82 × 20 × 228 ) / 8

LCM(82,20,228) = 373920 / 8

LCM(82,20,228) = 46740


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 123/82, 695/20, 750/228

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 123/82, 695/20, 750/228?

Answer: GCF of Numerators as per given numbers 123/82, 695/20, 750/228 is

GCF of Numerators i.e. for 123,695,750 is 1

LCM of denominators i.e. for 82,20,228 is 46740.

Thus, GCF of Fractions is 1/46740.Finally, GCF of Fractions for 123/82, 695/20, 750/228 is 1/46740.