Greatest Common Factor of 6353/616, 5183/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6353/616, 5183/840

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 6353/616,5183/840

Given fractions are 6353/616,5183/840

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 6353,5183

Greatest Common Factor of Numerators i.e. GCF of 6353,5183 is 1 .

LCM of Denominators means LCM of 616,840 as per the given fractions.

LCM of 616,840 is 9240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6353,5183

GCF of Fractions 6353/616,5183/840 is 1/9240

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

Greatest Common Factor of 6353,5183 By Matching Biggest Common Factor Method

Greatest Common Factor of 6353,5183 By Matching Biggest Common Factor Method

Factors of 6353

List of positive integer factors of 6353 that divides 6353 without a remainder.

1,6353

Factors of 5183

List of positive integer factors of 5183 that divides 5183 without a remainder.

1,71,73,5183

Greatest Common Factor

We found the factors 6353,5183 . The biggest common factor number is the GCF number.
So the greatest common factor 6353,5183 is 1.

Lets's calculate LCM of 616,840

2 616, 840
2 308, 420
2 154, 210
7 77, 105
11, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 15 = 9240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240

Therefore, the GCF of Fractions 6353/616,5183/840 is 1/9240

Least Common Multiple of 616,840 with GCF Formula

Least Common Multiple of 616,840 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 616,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,840) = 56

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

GCF(616,840) x common factors =56 x 1 = 56

LCM(616,840) = ( 616 × 840 ) / 56

LCM(616,840) = 517440 / 56

LCM(616,840) = 9240


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 6353/616, 5183/840

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 6353/616, 5183/840?

Answer: GCF of Numerators as per given numbers 6353/616, 5183/840 is

GCF of Numerators i.e. for 6353,5183 is 1

LCM of denominators i.e. for 616,840 is 9240.

Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 6353/616, 5183/840 is 1/9240.