Greatest Common Factor of 513/75, 114/5170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/75, 114/5170

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 513/75,114/5170

Given fractions are 513/75,114/5170

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 513,114

Greatest Common Factor of Numerators i.e. GCF of 513,114 is 57 .

LCM of Denominators means LCM of 75,5170 as per the given fractions.

LCM of 75,5170 is 77550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,114

GCF of Fractions 513/75,114/5170 is 57/77550

3 513, 114
19 171, 38
9, 2

∴ So the GCF of the given numbers is 3 x 19 = 57

Greatest Common Factor of 513,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,114 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 513,114 . The biggest common factor number is the GCF number.
So the greatest common factor 513,114 is 57.

Lets's calculate LCM of 75,5170

5 75, 5170
15, 1034

∴ So the LCM of the given numbers is 5 x 15 x 1034 = 77550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/77550

Therefore, the GCF of Fractions 513/75,114/5170 is 57/77550

Least Common Multiple of 75,5170 with GCF Formula

Least Common Multiple of 75,5170 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 75,5170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,5170) = 5

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

GCF(75,5170) x common factors =5 x 1 = 5

LCM(75,5170) = ( 75 × 5170 ) / 5

LCM(75,5170) = 387750 / 5

LCM(75,5170) = 77550


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 513/75, 114/5170

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 513/75, 114/5170?

Answer: GCF of Numerators as per given numbers 513/75, 114/5170 is

GCF of Numerators i.e. for 513,114 is 57

LCM of denominators i.e. for 75,5170 is 77550.

Thus, GCF of Fractions is 57/77550.Finally, GCF of Fractions for 513/75, 114/5170 is 57/77550.