Greatest Common Factor of 55/59, 38/28, 31/48, 81/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/59, 38/28, 31/48, 81/714

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 55/59,38/28,31/48,81/714

Given fractions are 55/59,38/28,31/48,81/714

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 55,38,31,81

Greatest Common Factor of Numerators i.e. GCF of 55,38,31,81 is 1 .

LCM of Denominators means LCM of 59,28,48,714 as per the given fractions.

LCM of 59,28,48,714 is 337008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,38,31,81

GCF of Fractions 55/59,38/28,31/48,81/714 is 1/337008

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

Greatest Common Factor of 55,38,31,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,38,31,81 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 31

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

1,31

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 55,38,31,81 . The biggest common factor number is the GCF number.
So the greatest common factor 55,38,31,81 is 1.

Lets's calculate LCM of 59,28,48,714

2 59, 28, 48, 714
2 59, 14, 24, 357
3 59, 7, 12, 357
7 59, 7, 4, 119
59, 1, 4, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 59 x 1 x 4 x 17 = 337008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337008

Therefore, the GCF of Fractions 55/59,38/28,31/48,81/714 is 1/337008

Least Common Multiple of 59,28,48,714 with GCF Formula

Least Common Multiple of 59,28,48,714 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 59,28,48,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,28,48,714) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(59,28,48,714) x common factors =1 x 168 = 168

LCM(59,28,48,714) = ( 59 × 28 × 48 × 714 ) / 168

LCM(59,28,48,714) = 56617344 / 168

LCM(59,28,48,714) = 337008


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 55/59, 38/28, 31/48, 81/714

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 55/59, 38/28, 31/48, 81/714?

Answer: GCF of Numerators as per given numbers 55/59, 38/28, 31/48, 81/714 is

GCF of Numerators i.e. for 55,38,31,81 is 1

LCM of denominators i.e. for 59,28,48,714 is 337008.

Thus, GCF of Fractions is 1/337008.Finally, GCF of Fractions for 55/59, 38/28, 31/48, 81/714 is 1/337008.