Greatest Common Factor of 13/991, 541/307, 822/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/991, 541/307, 822/777

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 13/991,541/307,822/777

Given fractions are 13/991,541/307,822/777

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 13,541,822

Greatest Common Factor of Numerators i.e. GCF of 13,541,822 is 1 .

LCM of Denominators means LCM of 991,307,777 as per the given fractions.

LCM of 991,307,777 is 236392149 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,541,822

GCF of Fractions 13/991,541/307,822/777 is 1/236392149

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

Greatest Common Factor of 13,541,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,541,822 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 13,541,822 . The biggest common factor number is the GCF number.
So the greatest common factor 13,541,822 is 1.

Lets's calculate LCM of 991,307,777

Given numbers has no common factors except 1. So, there LCM is their product i.e 236392149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236392149

Therefore, the GCF of Fractions 13/991,541/307,822/777 is 1/236392149

Least Common Multiple of 991,307,777 with GCF Formula

Least Common Multiple of 991,307,777 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 991,307,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,307,777) = 1

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

GCF(991,307,777) x common factors =1 x 1 = 1

LCM(991,307,777) = ( 991 × 307 × 777 ) / 1

LCM(991,307,777) = 236392149 / 1

LCM(991,307,777) = 236392149


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 13/991, 541/307, 822/777

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 13/991, 541/307, 822/777?

Answer: GCF of Numerators as per given numbers 13/991, 541/307, 822/777 is

GCF of Numerators i.e. for 13,541,822 is 1

LCM of denominators i.e. for 991,307,777 is 236392149.

Thus, GCF of Fractions is 1/236392149.Finally, GCF of Fractions for 13/991, 541/307, 822/777 is 1/236392149.