Greatest Common Factor of 65/856, 4995/2947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/856, 4995/2947

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 65/856,4995/2947

Given fractions are 65/856,4995/2947

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 65,4995

Greatest Common Factor of Numerators i.e. GCF of 65,4995 is 5 .

LCM of Denominators means LCM of 856,2947 as per the given fractions.

LCM of 856,2947 is 2522632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,4995

GCF of Fractions 65/856,4995/2947 is 5/2522632

5 65, 4995
13, 999

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 65,4995 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,4995 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 4995

List of positive integer factors of 4995 that divides 4995 without a remainder.

1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995

Greatest Common Factor

We found the factors 65,4995 . The biggest common factor number is the GCF number.
So the greatest common factor 65,4995 is 5.

Lets's calculate LCM of 856,2947

Given numbers has no common factors except 1. So, there LCM is their product i.e 2522632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2522632

Therefore, the GCF of Fractions 65/856,4995/2947 is 5/2522632

Least Common Multiple of 856,2947 with GCF Formula

Least Common Multiple of 856,2947 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 856,2947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,2947) = 1

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

GCF(856,2947) x common factors =1 x 1 = 1

LCM(856,2947) = ( 856 × 2947 ) / 1

LCM(856,2947) = 2522632 / 1

LCM(856,2947) = 2522632


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 65/856, 4995/2947

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 65/856, 4995/2947?

Answer: GCF of Numerators as per given numbers 65/856, 4995/2947 is

GCF of Numerators i.e. for 65,4995 is 5

LCM of denominators i.e. for 856,2947 is 2522632.

Thus, GCF of Fractions is 5/2522632.Finally, GCF of Fractions for 65/856, 4995/2947 is 5/2522632.