Greatest Common Factor of 1991/526, 7353/8224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1991/526, 7353/8224

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 1991/526,7353/8224

Given fractions are 1991/526,7353/8224

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 1991,7353

Greatest Common Factor of Numerators i.e. GCF of 1991,7353 is 1 .

LCM of Denominators means LCM of 526,8224 as per the given fractions.

LCM of 526,8224 is 2162912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1991,7353

GCF of Fractions 1991/526,7353/8224 is 1/2162912

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

Greatest Common Factor of 1991,7353 By Matching Biggest Common Factor Method

Greatest Common Factor of 1991,7353 By Matching Biggest Common Factor Method

Factors of 1991

List of positive integer factors of 1991 that divides 1991 without a remainder.

1,11,181,1991

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1,3,9,19,43,57,129,171,387,817,2451,7353

Greatest Common Factor

We found the factors 1991,7353 . The biggest common factor number is the GCF number.
So the greatest common factor 1991,7353 is 1.

Lets's calculate LCM of 526,8224

2 526, 8224
263, 4112

∴ So the LCM of the given numbers is 2 x 263 x 4112 = 2162912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2162912

Therefore, the GCF of Fractions 1991/526,7353/8224 is 1/2162912

Least Common Multiple of 526,8224 with GCF Formula

Least Common Multiple of 526,8224 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 526,8224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,8224) = 2

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

GCF(526,8224) x common factors =2 x 1 = 2

LCM(526,8224) = ( 526 × 8224 ) / 2

LCM(526,8224) = 4325824 / 2

LCM(526,8224) = 2162912


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 1991/526, 7353/8224

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 1991/526, 7353/8224?

Answer: GCF of Numerators as per given numbers 1991/526, 7353/8224 is

GCF of Numerators i.e. for 1991,7353 is 1

LCM of denominators i.e. for 526,8224 is 2162912.

Thus, GCF of Fractions is 1/2162912.Finally, GCF of Fractions for 1991/526, 7353/8224 is 1/2162912.