Greatest Common Factor of 8092/827, 1375/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8092/827, 1375/987

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 8092/827,1375/987

Given fractions are 8092/827,1375/987

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 8092,1375

Greatest Common Factor of Numerators i.e. GCF of 8092,1375 is 1 .

LCM of Denominators means LCM of 827,987 as per the given fractions.

LCM of 827,987 is 816249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8092,1375

GCF of Fractions 8092/827,1375/987 is 1/816249

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

Greatest Common Factor of 8092,1375 By Matching Biggest Common Factor Method

Greatest Common Factor of 8092,1375 By Matching Biggest Common Factor Method

Factors of 8092

List of positive integer factors of 8092 that divides 8092 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092

Factors of 1375

List of positive integer factors of 1375 that divides 1375 without a remainder.

1,5,11,25,55,125,275,1375

Greatest Common Factor

We found the factors 8092,1375 . The biggest common factor number is the GCF number.
So the greatest common factor 8092,1375 is 1.

Lets's calculate LCM of 827,987

Given numbers has no common factors except 1. So, there LCM is their product i.e 816249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/816249

Therefore, the GCF of Fractions 8092/827,1375/987 is 1/816249

Least Common Multiple of 827,987 with GCF Formula

Least Common Multiple of 827,987 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 827,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,987) = 1

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

GCF(827,987) x common factors =1 x 1 = 1

LCM(827,987) = ( 827 × 987 ) / 1

LCM(827,987) = 816249 / 1

LCM(827,987) = 816249


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 8092/827, 1375/987

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 8092/827, 1375/987?

Answer: GCF of Numerators as per given numbers 8092/827, 1375/987 is

GCF of Numerators i.e. for 8092,1375 is 1

LCM of denominators i.e. for 827,987 is 816249.

Thus, GCF of Fractions is 1/816249.Finally, GCF of Fractions for 8092/827, 1375/987 is 1/816249.