Greatest Common Factor of 9872/862, 2927/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9872/862, 2927/492

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 9872/862,2927/492

Given fractions are 9872/862,2927/492

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 9872,2927

Greatest Common Factor of Numerators i.e. GCF of 9872,2927 is 1 .

LCM of Denominators means LCM of 862,492 as per the given fractions.

LCM of 862,492 is 212052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9872,2927

GCF of Fractions 9872/862,2927/492 is 1/212052

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

Greatest Common Factor of 9872,2927 By Matching Biggest Common Factor Method

Greatest Common Factor of 9872,2927 By Matching Biggest Common Factor Method

Factors of 9872

List of positive integer factors of 9872 that divides 9872 without a remainder.

1,2,4,8,16,617,1234,2468,4936,9872

Factors of 2927

List of positive integer factors of 2927 that divides 2927 without a remainder.

1,2927

Greatest Common Factor

We found the factors 9872,2927 . The biggest common factor number is the GCF number.
So the greatest common factor 9872,2927 is 1.

Lets's calculate LCM of 862,492

2 862, 492
431, 246

∴ So the LCM of the given numbers is 2 x 431 x 246 = 212052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212052

Therefore, the GCF of Fractions 9872/862,2927/492 is 1/212052

Least Common Multiple of 862,492 with GCF Formula

Least Common Multiple of 862,492 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 862,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,492) = 2

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

GCF(862,492) x common factors =2 x 1 = 2

LCM(862,492) = ( 862 × 492 ) / 2

LCM(862,492) = 424104 / 2

LCM(862,492) = 212052


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 9872/862, 2927/492

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 9872/862, 2927/492?

Answer: GCF of Numerators as per given numbers 9872/862, 2927/492 is

GCF of Numerators i.e. for 9872,2927 is 1

LCM of denominators i.e. for 862,492 is 212052.

Thus, GCF of Fractions is 1/212052.Finally, GCF of Fractions for 9872/862, 2927/492 is 1/212052.