Greatest Common Factor of 2/31, 31/22, 87/838, 753/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/31, 31/22, 87/838, 753/589

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 2/31,31/22,87/838,753/589

Given fractions are 2/31,31/22,87/838,753/589

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 2,31,87,753

Greatest Common Factor of Numerators i.e. GCF of 2,31,87,753 is 1 .

LCM of Denominators means LCM of 31,22,838,589 as per the given fractions.

LCM of 31,22,838,589 is 5429402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,31,87,753

GCF of Fractions 2/31,31/22,87/838,753/589 is 1/5429402

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

Greatest Common Factor of 2,31,87,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,31,87,753 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

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 2,31,87,753 . The biggest common factor number is the GCF number.
So the greatest common factor 2,31,87,753 is 1.

Lets's calculate LCM of 31,22,838,589

2 31, 22, 838, 589
31 31, 11, 419, 589
1, 11, 419, 19

∴ So the LCM of the given numbers is 2 x 31 x 1 x 11 x 419 x 19 = 5429402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5429402

Therefore, the GCF of Fractions 2/31,31/22,87/838,753/589 is 1/5429402

Least Common Multiple of 31,22,838,589 with GCF Formula

Least Common Multiple of 31,22,838,589 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 31,22,838,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,22,838,589) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(31,22,838,589) x common factors =1 x 62 = 62

LCM(31,22,838,589) = ( 31 × 22 × 838 × 589 ) / 62

LCM(31,22,838,589) = 336622924 / 62

LCM(31,22,838,589) = 5429402


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 2/31, 31/22, 87/838, 753/589

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 2/31, 31/22, 87/838, 753/589?

Answer: GCF of Numerators as per given numbers 2/31, 31/22, 87/838, 753/589 is

GCF of Numerators i.e. for 2,31,87,753 is 1

LCM of denominators i.e. for 31,22,838,589 is 5429402.

Thus, GCF of Fractions is 1/5429402.Finally, GCF of Fractions for 2/31, 31/22, 87/838, 753/589 is 1/5429402.