Greatest Common Factor of 4/44, 53/99, 27/486, 139/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/44, 53/99, 27/486, 139/616

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 4/44,53/99,27/486,139/616

Given fractions are 4/44,53/99,27/486,139/616

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 4,53,27,139

Greatest Common Factor of Numerators i.e. GCF of 4,53,27,139 is 1 .

LCM of Denominators means LCM of 44,99,486,616 as per the given fractions.

LCM of 44,99,486,616 is 149688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,53,27,139

GCF of Fractions 4/44,53/99,27/486,139/616 is 1/149688

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

Greatest Common Factor of 4,53,27,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,53,27,139 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 4,53,27,139 . The biggest common factor number is the GCF number.
So the greatest common factor 4,53,27,139 is 1.

Lets's calculate LCM of 44,99,486,616

2 44, 99, 486, 616
2 22, 99, 243, 308
3 11, 99, 243, 154
3 11, 33, 81, 154
11 11, 11, 27, 154
1, 1, 27, 14

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 1 x 1 x 27 x 14 = 149688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149688

Therefore, the GCF of Fractions 4/44,53/99,27/486,139/616 is 1/149688

Least Common Multiple of 44,99,486,616 with GCF Formula

Least Common Multiple of 44,99,486,616 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 44,99,486,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,99,486,616) = 1

common factors(in case of two or more numbers have common factors) = 8712

GCF(44,99,486,616) x common factors =1 x 8712 = 8712

LCM(44,99,486,616) = ( 44 × 99 × 486 × 616 ) / 8712

LCM(44,99,486,616) = 1304081856 / 8712

LCM(44,99,486,616) = 149688


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 4/44, 53/99, 27/486, 139/616

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 4/44, 53/99, 27/486, 139/616?

Answer: GCF of Numerators as per given numbers 4/44, 53/99, 27/486, 139/616 is

GCF of Numerators i.e. for 4,53,27,139 is 1

LCM of denominators i.e. for 44,99,486,616 is 149688.

Thus, GCF of Fractions is 1/149688.Finally, GCF of Fractions for 4/44, 53/99, 27/486, 139/616 is 1/149688.