Greatest Common Factor of 753/22, 126/20, 459/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/22, 126/20, 459/31

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 753/22,126/20,459/31

Given fractions are 753/22,126/20,459/31

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 753,126,459

Greatest Common Factor of Numerators i.e. GCF of 753,126,459 is 3 .

LCM of Denominators means LCM of 22,20,31 as per the given fractions.

LCM of 22,20,31 is 6820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,126,459

GCF of Fractions 753/22,126/20,459/31 is 3/6820

3 753, 126, 459
251, 42, 153

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 753,126,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,126,459 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 753,126,459 . The biggest common factor number is the GCF number.
So the greatest common factor 753,126,459 is 3.

Lets's calculate LCM of 22,20,31

2 22, 20, 31
11, 10, 31

∴ So the LCM of the given numbers is 2 x 11 x 10 x 31 = 6820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6820

Therefore, the GCF of Fractions 753/22,126/20,459/31 is 3/6820

Least Common Multiple of 22,20,31 with GCF Formula

Least Common Multiple of 22,20,31 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 22,20,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,20,31) = 1

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

GCF(22,20,31) x common factors =1 x 2 = 2

LCM(22,20,31) = ( 22 × 20 × 31 ) / 2

LCM(22,20,31) = 13640 / 2

LCM(22,20,31) = 6820


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 753/22, 126/20, 459/31

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 753/22, 126/20, 459/31?

Answer: GCF of Numerators as per given numbers 753/22, 126/20, 459/31 is

GCF of Numerators i.e. for 753,126,459 is 3

LCM of denominators i.e. for 22,20,31 is 6820.

Thus, GCF of Fractions is 3/6820.Finally, GCF of Fractions for 753/22, 126/20, 459/31 is 3/6820.