Greatest Common Factor of 8085/670, 1243/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8085/670, 1243/501

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 8085/670,1243/501

Given fractions are 8085/670,1243/501

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 8085,1243

Greatest Common Factor of Numerators i.e. GCF of 8085,1243 is 11 .

LCM of Denominators means LCM of 670,501 as per the given fractions.

LCM of 670,501 is 335670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8085,1243

GCF of Fractions 8085/670,1243/501 is 11/335670

11 8085, 1243
735, 113

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8085,1243 By Matching Biggest Common Factor Method

Greatest Common Factor of 8085,1243 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 1243

List of positive integer factors of 1243 that divides 1243 without a remainder.

1,11,113,1243

Greatest Common Factor

We found the factors 8085,1243 . The biggest common factor number is the GCF number.
So the greatest common factor 8085,1243 is 11.

Lets's calculate LCM of 670,501

Given numbers has no common factors except 1. So, there LCM is their product i.e 335670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/335670

Therefore, the GCF of Fractions 8085/670,1243/501 is 11/335670

Least Common Multiple of 670,501 with GCF Formula

Least Common Multiple of 670,501 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 670,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,501) = 1

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

GCF(670,501) x common factors =1 x 1 = 1

LCM(670,501) = ( 670 × 501 ) / 1

LCM(670,501) = 335670 / 1

LCM(670,501) = 335670


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 8085/670, 1243/501

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 8085/670, 1243/501?

Answer: GCF of Numerators as per given numbers 8085/670, 1243/501 is

GCF of Numerators i.e. for 8085,1243 is 11

LCM of denominators i.e. for 670,501 is 335670.

Thus, GCF of Fractions is 11/335670.Finally, GCF of Fractions for 8085/670, 1243/501 is 11/335670.