Greatest Common Factor of 1885/71, 8996/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1885/71, 8996/647

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 1885/71,8996/647

Given fractions are 1885/71,8996/647

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 1885,8996

Greatest Common Factor of Numerators i.e. GCF of 1885,8996 is 13 .

LCM of Denominators means LCM of 71,647 as per the given fractions.

LCM of 71,647 is 45937 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1885,8996

GCF of Fractions 1885/71,8996/647 is 13/45937

13 1885, 8996
145, 692

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1885,8996 By Matching Biggest Common Factor Method

Greatest Common Factor of 1885,8996 By Matching Biggest Common Factor Method

Factors of 1885

List of positive integer factors of 1885 that divides 1885 without a remainder.

1,5,13,29,65,145,377,1885

Factors of 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1,2,4,13,26,52,173,346,692,2249,4498,8996

Greatest Common Factor

We found the factors 1885,8996 . The biggest common factor number is the GCF number.
So the greatest common factor 1885,8996 is 13.

Lets's calculate LCM of 71,647

Given numbers has no common factors except 1. So, there LCM is their product i.e 45937

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/45937

Therefore, the GCF of Fractions 1885/71,8996/647 is 13/45937

Least Common Multiple of 71,647 with GCF Formula

Least Common Multiple of 71,647 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 71,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,647) = 1

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

GCF(71,647) x common factors =1 x 1 = 1

LCM(71,647) = ( 71 × 647 ) / 1

LCM(71,647) = 45937 / 1

LCM(71,647) = 45937


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 1885/71, 8996/647

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 1885/71, 8996/647?

Answer: GCF of Numerators as per given numbers 1885/71, 8996/647 is

GCF of Numerators i.e. for 1885,8996 is 13

LCM of denominators i.e. for 71,647 is 45937.

Thus, GCF of Fractions is 13/45937.Finally, GCF of Fractions for 1885/71, 8996/647 is 13/45937.