Greatest Common Factor of 471/65, 600/9971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 471/65, 600/9971

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 471/65,600/9971

Given fractions are 471/65,600/9971

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 471,600

Greatest Common Factor of Numerators i.e. GCF of 471,600 is 3 .

LCM of Denominators means LCM of 65,9971 as per the given fractions.

LCM of 65,9971 is 49855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 471,600

GCF of Fractions 471/65,600/9971 is 3/49855

3 471, 600
157, 200

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 471,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,600 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

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

Greatest Common Factor

We found the factors 471,600 . The biggest common factor number is the GCF number.
So the greatest common factor 471,600 is 3.

Lets's calculate LCM of 65,9971

13 65, 9971
5, 767

∴ So the LCM of the given numbers is 13 x 5 x 767 = 49855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49855

Therefore, the GCF of Fractions 471/65,600/9971 is 3/49855

Least Common Multiple of 65,9971 with GCF Formula

Least Common Multiple of 65,9971 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 65,9971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,9971) = 13

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

GCF(65,9971) x common factors =13 x 1 = 13

LCM(65,9971) = ( 65 × 9971 ) / 13

LCM(65,9971) = 648115 / 13

LCM(65,9971) = 49855


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 471/65, 600/9971

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 471/65, 600/9971?

Answer: GCF of Numerators as per given numbers 471/65, 600/9971 is

GCF of Numerators i.e. for 471,600 is 3

LCM of denominators i.e. for 65,9971 is 49855.

Thus, GCF of Fractions is 3/49855.Finally, GCF of Fractions for 471/65, 600/9971 is 3/49855.