Greatest Common Factor of 5747/962, 7414/2982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5747/962, 7414/2982

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 5747/962,7414/2982

Given fractions are 5747/962,7414/2982

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 5747,7414

Greatest Common Factor of Numerators i.e. GCF of 5747,7414 is 1 .

LCM of Denominators means LCM of 962,2982 as per the given fractions.

LCM of 962,2982 is 1434342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5747,7414

GCF of Fractions 5747/962,7414/2982 is 1/1434342

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

Greatest Common Factor of 5747,7414 By Matching Biggest Common Factor Method

Greatest Common Factor of 5747,7414 By Matching Biggest Common Factor Method

Factors of 5747

List of positive integer factors of 5747 that divides 5747 without a remainder.

1,7,821,5747

Factors of 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1,2,11,22,337,674,3707,7414

Greatest Common Factor

We found the factors 5747,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 5747,7414 is 1.

Lets's calculate LCM of 962,2982

2 962, 2982
481, 1491

∴ So the LCM of the given numbers is 2 x 481 x 1491 = 1434342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1434342

Therefore, the GCF of Fractions 5747/962,7414/2982 is 1/1434342

Least Common Multiple of 962,2982 with GCF Formula

Least Common Multiple of 962,2982 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 962,2982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,2982) = 2

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

GCF(962,2982) x common factors =2 x 1 = 2

LCM(962,2982) = ( 962 × 2982 ) / 2

LCM(962,2982) = 2868684 / 2

LCM(962,2982) = 1434342


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 5747/962, 7414/2982

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 5747/962, 7414/2982?

Answer: GCF of Numerators as per given numbers 5747/962, 7414/2982 is

GCF of Numerators i.e. for 5747,7414 is 1

LCM of denominators i.e. for 962,2982 is 1434342.

Thus, GCF of Fractions is 1/1434342.Finally, GCF of Fractions for 5747/962, 7414/2982 is 1/1434342.