Greatest Common Factor of 5351/24, 3713/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5351/24, 3713/828

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 5351/24,3713/828

Given fractions are 5351/24,3713/828

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 5351,3713

Greatest Common Factor of Numerators i.e. GCF of 5351,3713 is 1 .

LCM of Denominators means LCM of 24,828 as per the given fractions.

LCM of 24,828 is 1656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5351,3713

GCF of Fractions 5351/24,3713/828 is 1/1656

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

Greatest Common Factor of 5351,3713 By Matching Biggest Common Factor Method

Greatest Common Factor of 5351,3713 By Matching Biggest Common Factor Method

Factors of 5351

List of positive integer factors of 5351 that divides 5351 without a remainder.

1,5351

Factors of 3713

List of positive integer factors of 3713 that divides 3713 without a remainder.

1,47,79,3713

Greatest Common Factor

We found the factors 5351,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 5351,3713 is 1.

Lets's calculate LCM of 24,828

2 24, 828
2 12, 414
3 6, 207
2, 69

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 69 = 1656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1656

Therefore, the GCF of Fractions 5351/24,3713/828 is 1/1656

Least Common Multiple of 24,828 with GCF Formula

Least Common Multiple of 24,828 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 24,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,828) = 12

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

GCF(24,828) x common factors =12 x 1 = 12

LCM(24,828) = ( 24 × 828 ) / 12

LCM(24,828) = 19872 / 12

LCM(24,828) = 1656


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 5351/24, 3713/828

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 5351/24, 3713/828?

Answer: GCF of Numerators as per given numbers 5351/24, 3713/828 is

GCF of Numerators i.e. for 5351,3713 is 1

LCM of denominators i.e. for 24,828 is 1656.

Thus, GCF of Fractions is 1/1656.Finally, GCF of Fractions for 5351/24, 3713/828 is 1/1656.