Greatest Common Factor of 620/89, 310/29, 108/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 620/89, 310/29, 108/61

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 620/89,310/29,108/61

Given fractions are 620/89,310/29,108/61

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 620,310,108

Greatest Common Factor of Numerators i.e. GCF of 620,310,108 is 2 .

LCM of Denominators means LCM of 89,29,61 as per the given fractions.

LCM of 89,29,61 is 157441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 620,310,108

GCF of Fractions 620/89,310/29,108/61 is 2/157441

2 620, 310, 108
310, 155, 54

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 620,310,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,310,108 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 620,310,108 . The biggest common factor number is the GCF number.
So the greatest common factor 620,310,108 is 2.

Lets's calculate LCM of 89,29,61

Given numbers has no common factors except 1. So, there LCM is their product i.e 157441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157441

Therefore, the GCF of Fractions 620/89,310/29,108/61 is 2/157441

Least Common Multiple of 89,29,61 with GCF Formula

Least Common Multiple of 89,29,61 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 89,29,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,29,61) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,29,61) x common factors =1 x 1 = 1

LCM(89,29,61) = ( 89 × 29 × 61 ) / 1

LCM(89,29,61) = 157441 / 1

LCM(89,29,61) = 157441


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 620/89, 310/29, 108/61

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 620/89, 310/29, 108/61?

Answer: GCF of Numerators as per given numbers 620/89, 310/29, 108/61 is

GCF of Numerators i.e. for 620,310,108 is 2

LCM of denominators i.e. for 89,29,61 is 157441.

Thus, GCF of Fractions is 2/157441.Finally, GCF of Fractions for 620/89, 310/29, 108/61 is 2/157441.