Greatest Common Factor of 8265/513, 7147/3123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8265/513, 7147/3123

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 8265/513,7147/3123

Given fractions are 8265/513,7147/3123

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 8265,7147

Greatest Common Factor of Numerators i.e. GCF of 8265,7147 is 1 .

LCM of Denominators means LCM of 513,3123 as per the given fractions.

LCM of 513,3123 is 178011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8265,7147

GCF of Fractions 8265/513,7147/3123 is 1/178011

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

Greatest Common Factor of 8265,7147 By Matching Biggest Common Factor Method

Greatest Common Factor of 8265,7147 By Matching Biggest Common Factor Method

Factors of 8265

List of positive integer factors of 8265 that divides 8265 without a remainder.

1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265

Factors of 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1,7,1021,7147

Greatest Common Factor

We found the factors 8265,7147 . The biggest common factor number is the GCF number.
So the greatest common factor 8265,7147 is 1.

Lets's calculate LCM of 513,3123

3 513, 3123
3 171, 1041
57, 347

∴ So the LCM of the given numbers is 3 x 3 x 57 x 347 = 178011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178011

Therefore, the GCF of Fractions 8265/513,7147/3123 is 1/178011

Least Common Multiple of 513,3123 with GCF Formula

Least Common Multiple of 513,3123 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 513,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,3123) = 9

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

GCF(513,3123) x common factors =9 x 1 = 9

LCM(513,3123) = ( 513 × 3123 ) / 9

LCM(513,3123) = 1602099 / 9

LCM(513,3123) = 178011


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 8265/513, 7147/3123

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 8265/513, 7147/3123?

Answer: GCF of Numerators as per given numbers 8265/513, 7147/3123 is

GCF of Numerators i.e. for 8265,7147 is 1

LCM of denominators i.e. for 513,3123 is 178011.

Thus, GCF of Fractions is 1/178011.Finally, GCF of Fractions for 8265/513, 7147/3123 is 1/178011.