Greatest Common Factor of 8085/667, 6290/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8085/667, 6290/231

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 8085/667,6290/231

Given fractions are 8085/667,6290/231

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 8085,6290

Greatest Common Factor of Numerators i.e. GCF of 8085,6290 is 5 .

LCM of Denominators means LCM of 667,231 as per the given fractions.

LCM of 667,231 is 154077 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8085,6290

GCF of Fractions 8085/667,6290/231 is 5/154077

5 8085, 6290
1617, 1258

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

Greatest Common Factor of 8085,6290 By Matching Biggest Common Factor Method

Greatest Common Factor of 8085,6290 By Matching Biggest Common Factor Method

Factors of 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1,3,5,7,11,15,21,33,35,49,55,77,105,147,165,231,245,385,539,735,1155,1617,2695,8085

Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290

Greatest Common Factor

We found the factors 8085,6290 . The biggest common factor number is the GCF number.
So the greatest common factor 8085,6290 is 5.

Lets's calculate LCM of 667,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 154077

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/154077

Therefore, the GCF of Fractions 8085/667,6290/231 is 5/154077

Least Common Multiple of 667,231 with GCF Formula

Least Common Multiple of 667,231 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 667,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,231) = 1

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

GCF(667,231) x common factors =1 x 1 = 1

LCM(667,231) = ( 667 × 231 ) / 1

LCM(667,231) = 154077 / 1

LCM(667,231) = 154077


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 8085/667, 6290/231

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 8085/667, 6290/231?

Answer: GCF of Numerators as per given numbers 8085/667, 6290/231 is

GCF of Numerators i.e. for 8085,6290 is 5

LCM of denominators i.e. for 667,231 is 154077.

Thus, GCF of Fractions is 5/154077.Finally, GCF of Fractions for 8085/667, 6290/231 is 5/154077.