Greatest Common Factor of 4125/516, 8305/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4125/516, 8305/253

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 4125/516,8305/253

Given fractions are 4125/516,8305/253

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 4125,8305

Greatest Common Factor of Numerators i.e. GCF of 4125,8305 is 55 .

LCM of Denominators means LCM of 516,253 as per the given fractions.

LCM of 516,253 is 130548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4125,8305

GCF of Fractions 4125/516,8305/253 is 55/130548

5 4125, 8305
11 825, 1661
75, 151

∴ So the GCF of the given numbers is 5 x 11 = 55

Greatest Common Factor of 4125,8305 By Matching Biggest Common Factor Method

Greatest Common Factor of 4125,8305 By Matching Biggest Common Factor Method

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Factors of 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1,5,11,55,151,755,1661,8305

Greatest Common Factor

We found the factors 4125,8305 . The biggest common factor number is the GCF number.
So the greatest common factor 4125,8305 is 55.

Lets's calculate LCM of 516,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 130548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/130548

Therefore, the GCF of Fractions 4125/516,8305/253 is 55/130548

Least Common Multiple of 516,253 with GCF Formula

Least Common Multiple of 516,253 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 516,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,253) = 1

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

GCF(516,253) x common factors =1 x 1 = 1

LCM(516,253) = ( 516 × 253 ) / 1

LCM(516,253) = 130548 / 1

LCM(516,253) = 130548


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 4125/516, 8305/253

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 4125/516, 8305/253?

Answer: GCF of Numerators as per given numbers 4125/516, 8305/253 is

GCF of Numerators i.e. for 4125,8305 is 55

LCM of denominators i.e. for 516,253 is 130548.

Thus, GCF of Fractions is 55/130548.Finally, GCF of Fractions for 4125/516, 8305/253 is 55/130548.