Greatest Common Factor of 222/40, 427/20, 753/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 222/40, 427/20, 753/624

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 222/40,427/20,753/624

Given fractions are 222/40,427/20,753/624

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 222,427,753

Greatest Common Factor of Numerators i.e. GCF of 222,427,753 is 1 .

LCM of Denominators means LCM of 40,20,624 as per the given fractions.

LCM of 40,20,624 is 3120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 222,427,753

GCF of Fractions 222/40,427/20,753/624 is 1/3120

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

Greatest Common Factor of 222,427,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,427,753 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 753

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

1,3,251,753

Greatest Common Factor

We found the factors 222,427,753 . The biggest common factor number is the GCF number.
So the greatest common factor 222,427,753 is 1.

Lets's calculate LCM of 40,20,624

2 40, 20, 624
2 20, 10, 312
2 5, 10, 156
5 5, 5, 78
1, 1, 78

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 78 = 3120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3120

Therefore, the GCF of Fractions 222/40,427/20,753/624 is 1/3120

Least Common Multiple of 40,20,624 with GCF Formula

Least Common Multiple of 40,20,624 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 40,20,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,20,624) = 4

common factors(in case of two or more numbers have common factors) = 40

GCF(40,20,624) x common factors =4 x 40 = 160

LCM(40,20,624) = ( 40 × 20 × 624 ) / 160

LCM(40,20,624) = 499200 / 160

LCM(40,20,624) = 3120


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 222/40, 427/20, 753/624

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 222/40, 427/20, 753/624?

Answer: GCF of Numerators as per given numbers 222/40, 427/20, 753/624 is

GCF of Numerators i.e. for 222,427,753 is 1

LCM of denominators i.e. for 40,20,624 is 3120.

Thus, GCF of Fractions is 1/3120.Finally, GCF of Fractions for 222/40, 427/20, 753/624 is 1/3120.