Greatest Common Factor of 8080/285, 6253/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8080/285, 6253/318

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 8080/285,6253/318

Given fractions are 8080/285,6253/318

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 8080,6253

Greatest Common Factor of Numerators i.e. GCF of 8080,6253 is 1 .

LCM of Denominators means LCM of 285,318 as per the given fractions.

LCM of 285,318 is 30210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8080,6253

GCF of Fractions 8080/285,6253/318 is 1/30210

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

Greatest Common Factor of 8080,6253 By Matching Biggest Common Factor Method

Greatest Common Factor of 8080,6253 By Matching Biggest Common Factor Method

Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080

Factors of 6253

List of positive integer factors of 6253 that divides 6253 without a remainder.

1,13,37,169,481,6253

Greatest Common Factor

We found the factors 8080,6253 . The biggest common factor number is the GCF number.
So the greatest common factor 8080,6253 is 1.

Lets's calculate LCM of 285,318

3 285, 318
95, 106

∴ So the LCM of the given numbers is 3 x 95 x 106 = 30210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30210

Therefore, the GCF of Fractions 8080/285,6253/318 is 1/30210

Least Common Multiple of 285,318 with GCF Formula

Least Common Multiple of 285,318 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 285,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,318) = 3

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

GCF(285,318) x common factors =3 x 1 = 3

LCM(285,318) = ( 285 × 318 ) / 3

LCM(285,318) = 90630 / 3

LCM(285,318) = 30210


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 8080/285, 6253/318

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 8080/285, 6253/318?

Answer: GCF of Numerators as per given numbers 8080/285, 6253/318 is

GCF of Numerators i.e. for 8080,6253 is 1

LCM of denominators i.e. for 285,318 is 30210.

Thus, GCF of Fractions is 1/30210.Finally, GCF of Fractions for 8080/285, 6253/318 is 1/30210.