Greatest Common Factor of 8087/964, 1986/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8087/964, 1986/987

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 8087/964,1986/987

Given fractions are 8087/964,1986/987

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 8087,1986

Greatest Common Factor of Numerators i.e. GCF of 8087,1986 is 1 .

LCM of Denominators means LCM of 964,987 as per the given fractions.

LCM of 964,987 is 951468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8087,1986

GCF of Fractions 8087/964,1986/987 is 1/951468

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

Greatest Common Factor of 8087,1986 By Matching Biggest Common Factor Method

Greatest Common Factor of 8087,1986 By Matching Biggest Common Factor Method

Factors of 8087

List of positive integer factors of 8087 that divides 8087 without a remainder.

1,8087

Factors of 1986

List of positive integer factors of 1986 that divides 1986 without a remainder.

1,2,3,6,331,662,993,1986

Greatest Common Factor

We found the factors 8087,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 8087,1986 is 1.

Lets's calculate LCM of 964,987

Given numbers has no common factors except 1. So, there LCM is their product i.e 951468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/951468

Therefore, the GCF of Fractions 8087/964,1986/987 is 1/951468

Least Common Multiple of 964,987 with GCF Formula

Least Common Multiple of 964,987 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 964,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,987) = 1

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

GCF(964,987) x common factors =1 x 1 = 1

LCM(964,987) = ( 964 × 987 ) / 1

LCM(964,987) = 951468 / 1

LCM(964,987) = 951468


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 8087/964, 1986/987

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 8087/964, 1986/987?

Answer: GCF of Numerators as per given numbers 8087/964, 1986/987 is

GCF of Numerators i.e. for 8087,1986 is 1

LCM of denominators i.e. for 964,987 is 951468.

Thus, GCF of Fractions is 1/951468.Finally, GCF of Fractions for 8087/964, 1986/987 is 1/951468.