Greatest Common Factor of 8375/255, 4505/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8375/255, 4505/316

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 8375/255,4505/316

Given fractions are 8375/255,4505/316

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 8375,4505

Greatest Common Factor of Numerators i.e. GCF of 8375,4505 is 5 .

LCM of Denominators means LCM of 255,316 as per the given fractions.

LCM of 255,316 is 80580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8375,4505

GCF of Fractions 8375/255,4505/316 is 5/80580

5 8375, 4505
1675, 901

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8375,4505 By Matching Biggest Common Factor Method

Greatest Common Factor of 8375,4505 By Matching Biggest Common Factor Method

Factors of 8375

List of positive integer factors of 8375 that divides 8375 without a remainder.

1,5,25,67,125,335,1675,8375

Factors of 4505

List of positive integer factors of 4505 that divides 4505 without a remainder.

1,5,17,53,85,265,901,4505

Greatest Common Factor

We found the factors 8375,4505 . The biggest common factor number is the GCF number.
So the greatest common factor 8375,4505 is 5.

Lets's calculate LCM of 255,316

Given numbers has no common factors except 1. So, there LCM is their product i.e 80580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/80580

Therefore, the GCF of Fractions 8375/255,4505/316 is 5/80580

Least Common Multiple of 255,316 with GCF Formula

Least Common Multiple of 255,316 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 255,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,316) = 1

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

GCF(255,316) x common factors =1 x 1 = 1

LCM(255,316) = ( 255 × 316 ) / 1

LCM(255,316) = 80580 / 1

LCM(255,316) = 80580


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 8375/255, 4505/316

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 8375/255, 4505/316?

Answer: GCF of Numerators as per given numbers 8375/255, 4505/316 is

GCF of Numerators i.e. for 8375,4505 is 5

LCM of denominators i.e. for 255,316 is 80580.

Thus, GCF of Fractions is 5/80580.Finally, GCF of Fractions for 8375/255, 4505/316 is 5/80580.