Greatest Common Factor of 7451/996, 5431/2824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7451/996, 5431/2824

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 7451/996,5431/2824

Given fractions are 7451/996,5431/2824

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 7451,5431

Greatest Common Factor of Numerators i.e. GCF of 7451,5431 is 1 .

LCM of Denominators means LCM of 996,2824 as per the given fractions.

LCM of 996,2824 is 703176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7451,5431

GCF of Fractions 7451/996,5431/2824 is 1/703176

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

Greatest Common Factor of 7451,5431 By Matching Biggest Common Factor Method

Greatest Common Factor of 7451,5431 By Matching Biggest Common Factor Method

Factors of 7451

List of positive integer factors of 7451 that divides 7451 without a remainder.

1,7451

Factors of 5431

List of positive integer factors of 5431 that divides 5431 without a remainder.

1,5431

Greatest Common Factor

We found the factors 7451,5431 . The biggest common factor number is the GCF number.
So the greatest common factor 7451,5431 is 1.

Lets's calculate LCM of 996,2824

2 996, 2824
2 498, 1412
249, 706

∴ So the LCM of the given numbers is 2 x 2 x 249 x 706 = 703176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703176

Therefore, the GCF of Fractions 7451/996,5431/2824 is 1/703176

Least Common Multiple of 996,2824 with GCF Formula

Least Common Multiple of 996,2824 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 996,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,2824) = 4

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

GCF(996,2824) x common factors =4 x 1 = 4

LCM(996,2824) = ( 996 × 2824 ) / 4

LCM(996,2824) = 2812704 / 4

LCM(996,2824) = 703176


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 7451/996, 5431/2824

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 7451/996, 5431/2824?

Answer: GCF of Numerators as per given numbers 7451/996, 5431/2824 is

GCF of Numerators i.e. for 7451,5431 is 1

LCM of denominators i.e. for 996,2824 is 703176.

Thus, GCF of Fractions is 1/703176.Finally, GCF of Fractions for 7451/996, 5431/2824 is 1/703176.