Greatest Common Factor of 991/54, 2216/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/54, 2216/783

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 991/54,2216/783

Given fractions are 991/54,2216/783

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 991,2216

Greatest Common Factor of Numerators i.e. GCF of 991,2216 is 1 .

LCM of Denominators means LCM of 54,783 as per the given fractions.

LCM of 54,783 is 1566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,2216

GCF of Fractions 991/54,2216/783 is 1/1566

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

Greatest Common Factor of 991,2216 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,2216 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 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1,2,4,8,277,554,1108,2216

Greatest Common Factor

We found the factors 991,2216 . The biggest common factor number is the GCF number.
So the greatest common factor 991,2216 is 1.

Lets's calculate LCM of 54,783

3 54, 783
3 18, 261
3 6, 87
2, 29

∴ So the LCM of the given numbers is 3 x 3 x 3 x 2 x 29 = 1566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1566

Therefore, the GCF of Fractions 991/54,2216/783 is 1/1566

Least Common Multiple of 54,783 with GCF Formula

Least Common Multiple of 54,783 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 54,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,783) = 27

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

GCF(54,783) x common factors =27 x 1 = 27

LCM(54,783) = ( 54 × 783 ) / 27

LCM(54,783) = 42282 / 27

LCM(54,783) = 1566


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 991/54, 2216/783

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 991/54, 2216/783?

Answer: GCF of Numerators as per given numbers 991/54, 2216/783 is

GCF of Numerators i.e. for 991,2216 is 1

LCM of denominators i.e. for 54,783 is 1566.

Thus, GCF of Fractions is 1/1566.Finally, GCF of Fractions for 991/54, 2216/783 is 1/1566.