Greatest Common Factor of 55/56, 36/35, 80/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/56, 36/35, 80/239

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 55/56,36/35,80/239

Given fractions are 55/56,36/35,80/239

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 55,36,80

Greatest Common Factor of Numerators i.e. GCF of 55,36,80 is 1 .

LCM of Denominators means LCM of 56,35,239 as per the given fractions.

LCM of 56,35,239 is 66920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,36,80

GCF of Fractions 55/56,36/35,80/239 is 1/66920

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

Greatest Common Factor of 55,36,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,36,80 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Greatest Common Factor

We found the factors 55,36,80 . The biggest common factor number is the GCF number.
So the greatest common factor 55,36,80 is 1.

Lets's calculate LCM of 56,35,239

7 56, 35, 239
8, 5, 239

∴ So the LCM of the given numbers is 7 x 8 x 5 x 239 = 66920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66920

Therefore, the GCF of Fractions 55/56,36/35,80/239 is 1/66920

Least Common Multiple of 56,35,239 with GCF Formula

Least Common Multiple of 56,35,239 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 56,35,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,35,239) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(56,35,239) x common factors =1 x 7 = 7

LCM(56,35,239) = ( 56 × 35 × 239 ) / 7

LCM(56,35,239) = 468440 / 7

LCM(56,35,239) = 66920


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 55/56, 36/35, 80/239

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 55/56, 36/35, 80/239?

Answer: GCF of Numerators as per given numbers 55/56, 36/35, 80/239 is

GCF of Numerators i.e. for 55,36,80 is 1

LCM of denominators i.e. for 56,35,239 is 66920.

Thus, GCF of Fractions is 1/66920.Finally, GCF of Fractions for 55/56, 36/35, 80/239 is 1/66920.