Greatest Common Factor of 600/97, 116/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/97, 116/631

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 600/97,116/631

Given fractions are 600/97,116/631

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 600,116

Greatest Common Factor of Numerators i.e. GCF of 600,116 is 4 .

LCM of Denominators means LCM of 97,631 as per the given fractions.

LCM of 97,631 is 61207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,116

GCF of Fractions 600/97,116/631 is 4/61207

2 600, 116
2 300, 58
150, 29

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 600,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,116 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 600,116 . The biggest common factor number is the GCF number.
So the greatest common factor 600,116 is 4.

Lets's calculate LCM of 97,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 61207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61207

Therefore, the GCF of Fractions 600/97,116/631 is 4/61207

Least Common Multiple of 97,631 with GCF Formula

Least Common Multiple of 97,631 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 97,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,631) = 1

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

GCF(97,631) x common factors =1 x 1 = 1

LCM(97,631) = ( 97 × 631 ) / 1

LCM(97,631) = 61207 / 1

LCM(97,631) = 61207


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 600/97, 116/631

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 600/97, 116/631?

Answer: GCF of Numerators as per given numbers 600/97, 116/631 is

GCF of Numerators i.e. for 600,116 is 4

LCM of denominators i.e. for 97,631 is 61207.

Thus, GCF of Fractions is 4/61207.Finally, GCF of Fractions for 600/97, 116/631 is 4/61207.