Greatest Common Factor of 5163/518, 3384/6175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5163/518, 3384/6175

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 5163/518,3384/6175

Given fractions are 5163/518,3384/6175

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 5163,3384

Greatest Common Factor of Numerators i.e. GCF of 5163,3384 is 3 .

LCM of Denominators means LCM of 518,6175 as per the given fractions.

LCM of 518,6175 is 3198650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5163,3384

GCF of Fractions 5163/518,3384/6175 is 3/3198650

3 5163, 3384
1721, 1128

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5163,3384 By Matching Biggest Common Factor Method

Greatest Common Factor of 5163,3384 By Matching Biggest Common Factor Method

Factors of 5163

List of positive integer factors of 5163 that divides 5163 without a remainder.

1,3,1721,5163

Factors of 3384

List of positive integer factors of 3384 that divides 3384 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384

Greatest Common Factor

We found the factors 5163,3384 . The biggest common factor number is the GCF number.
So the greatest common factor 5163,3384 is 3.

Lets's calculate LCM of 518,6175

Given numbers has no common factors except 1. So, there LCM is their product i.e 3198650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3198650

Therefore, the GCF of Fractions 5163/518,3384/6175 is 3/3198650

Least Common Multiple of 518,6175 with GCF Formula

Least Common Multiple of 518,6175 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 518,6175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,6175) = 1

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

GCF(518,6175) x common factors =1 x 1 = 1

LCM(518,6175) = ( 518 × 6175 ) / 1

LCM(518,6175) = 3198650 / 1

LCM(518,6175) = 3198650


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 5163/518, 3384/6175

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 5163/518, 3384/6175?

Answer: GCF of Numerators as per given numbers 5163/518, 3384/6175 is

GCF of Numerators i.e. for 5163,3384 is 3

LCM of denominators i.e. for 518,6175 is 3198650.

Thus, GCF of Fractions is 3/3198650.Finally, GCF of Fractions for 5163/518, 3384/6175 is 3/3198650.