Greatest Common Factor of 8285/687, 8918/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8285/687, 8918/308

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 8285/687,8918/308

Given fractions are 8285/687,8918/308

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 8285,8918

Greatest Common Factor of Numerators i.e. GCF of 8285,8918 is 1 .

LCM of Denominators means LCM of 687,308 as per the given fractions.

LCM of 687,308 is 211596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8285,8918

GCF of Fractions 8285/687,8918/308 is 1/211596

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

Greatest Common Factor of 8285,8918 By Matching Biggest Common Factor Method

Greatest Common Factor of 8285,8918 By Matching Biggest Common Factor Method

Factors of 8285

List of positive integer factors of 8285 that divides 8285 without a remainder.

1,5,1657,8285

Factors of 8918

List of positive integer factors of 8918 that divides 8918 without a remainder.

1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918

Greatest Common Factor

We found the factors 8285,8918 . The biggest common factor number is the GCF number.
So the greatest common factor 8285,8918 is 1.

Lets's calculate LCM of 687,308

Given numbers has no common factors except 1. So, there LCM is their product i.e 211596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211596

Therefore, the GCF of Fractions 8285/687,8918/308 is 1/211596

Least Common Multiple of 687,308 with GCF Formula

Least Common Multiple of 687,308 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 687,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,308) = 1

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

GCF(687,308) x common factors =1 x 1 = 1

LCM(687,308) = ( 687 × 308 ) / 1

LCM(687,308) = 211596 / 1

LCM(687,308) = 211596


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 8285/687, 8918/308

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 8285/687, 8918/308?

Answer: GCF of Numerators as per given numbers 8285/687, 8918/308 is

GCF of Numerators i.e. for 8285,8918 is 1

LCM of denominators i.e. for 687,308 is 211596.

Thus, GCF of Fractions is 1/211596.Finally, GCF of Fractions for 8285/687, 8918/308 is 1/211596.