Greatest Common Factor of 893/138, 9312/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 893/138, 9312/837

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 893/138,9312/837

Given fractions are 893/138,9312/837

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 893,9312

Greatest Common Factor of Numerators i.e. GCF of 893,9312 is 1 .

LCM of Denominators means LCM of 138,837 as per the given fractions.

LCM of 138,837 is 38502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 893,9312

GCF of Fractions 893/138,9312/837 is 1/38502

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

Greatest Common Factor of 893,9312 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,9312 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312

Greatest Common Factor

We found the factors 893,9312 . The biggest common factor number is the GCF number.
So the greatest common factor 893,9312 is 1.

Lets's calculate LCM of 138,837

3 138, 837
46, 279

∴ So the LCM of the given numbers is 3 x 46 x 279 = 38502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38502

Therefore, the GCF of Fractions 893/138,9312/837 is 1/38502

Least Common Multiple of 138,837 with GCF Formula

Least Common Multiple of 138,837 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 138,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,837) = 3

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

GCF(138,837) x common factors =3 x 1 = 3

LCM(138,837) = ( 138 × 837 ) / 3

LCM(138,837) = 115506 / 3

LCM(138,837) = 38502


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 893/138, 9312/837

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 893/138, 9312/837?

Answer: GCF of Numerators as per given numbers 893/138, 9312/837 is

GCF of Numerators i.e. for 893,9312 is 1

LCM of denominators i.e. for 138,837 is 38502.

Thus, GCF of Fractions is 1/38502.Finally, GCF of Fractions for 893/138, 9312/837 is 1/38502.