Greatest Common Factor of 5986/987, 9453/8211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5986/987, 9453/8211

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 5986/987,9453/8211

Given fractions are 5986/987,9453/8211

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 5986,9453

Greatest Common Factor of Numerators i.e. GCF of 5986,9453 is 1 .

LCM of Denominators means LCM of 987,8211 as per the given fractions.

LCM of 987,8211 is 385917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5986,9453

GCF of Fractions 5986/987,9453/8211 is 1/385917

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

Greatest Common Factor of 5986,9453 By Matching Biggest Common Factor Method

Greatest Common Factor of 5986,9453 By Matching Biggest Common Factor Method

Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1,2,41,73,82,146,2993,5986

Factors of 9453

List of positive integer factors of 9453 that divides 9453 without a remainder.

1,3,23,69,137,411,3151,9453

Greatest Common Factor

We found the factors 5986,9453 . The biggest common factor number is the GCF number.
So the greatest common factor 5986,9453 is 1.

Lets's calculate LCM of 987,8211

3 987, 8211
7 329, 2737
47, 391

∴ So the LCM of the given numbers is 3 x 7 x 47 x 391 = 385917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385917

Therefore, the GCF of Fractions 5986/987,9453/8211 is 1/385917

Least Common Multiple of 987,8211 with GCF Formula

Least Common Multiple of 987,8211 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 987,8211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,8211) = 21

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

GCF(987,8211) x common factors =21 x 1 = 21

LCM(987,8211) = ( 987 × 8211 ) / 21

LCM(987,8211) = 8104257 / 21

LCM(987,8211) = 385917


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 5986/987, 9453/8211

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 5986/987, 9453/8211?

Answer: GCF of Numerators as per given numbers 5986/987, 9453/8211 is

GCF of Numerators i.e. for 5986,9453 is 1

LCM of denominators i.e. for 987,8211 is 385917.

Thus, GCF of Fractions is 1/385917.Finally, GCF of Fractions for 5986/987, 9453/8211 is 1/385917.