Greatest Common Factor of 991/3696, 213/1541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/3696, 213/1541

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 991/3696,213/1541

Given fractions are 991/3696,213/1541

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 991,213

Greatest Common Factor of Numerators i.e. GCF of 991,213 is 1 .

LCM of Denominators means LCM of 3696,1541 as per the given fractions.

LCM of 3696,1541 is 5695536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,213

GCF of Fractions 991/3696,213/1541 is 1/5695536

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 991,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,213 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 991,213 . The biggest common factor number is the GCF number.
So the greatest common factor 991,213 is 1.

Lets's calculate LCM of 3696,1541

Given numbers has no common factors except 1. So, there LCM is their product i.e 5695536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5695536

Therefore, the GCF of Fractions 991/3696,213/1541 is 1/5695536

Least Common Multiple of 3696,1541 with GCF Formula

Least Common Multiple of 3696,1541 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 3696,1541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3696,1541) = 1

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

GCF(3696,1541) x common factors =1 x 1 = 1

LCM(3696,1541) = ( 3696 × 1541 ) / 1

LCM(3696,1541) = 5695536 / 1

LCM(3696,1541) = 5695536


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 991/3696, 213/1541

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 991/3696, 213/1541?

Answer: GCF of Numerators as per given numbers 991/3696, 213/1541 is

GCF of Numerators i.e. for 991,213 is 1

LCM of denominators i.e. for 3696,1541 is 5695536.

Thus, GCF of Fractions is 1/5695536.Finally, GCF of Fractions for 991/3696, 213/1541 is 1/5695536.