Greatest Common Factor of 111/286, 681/852, 284/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 111/286, 681/852, 284/121

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 111/286,681/852,284/121

Given fractions are 111/286,681/852,284/121

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 111,681,284

Greatest Common Factor of Numerators i.e. GCF of 111,681,284 is 1 .

LCM of Denominators means LCM of 286,852,121 as per the given fractions.

LCM of 286,852,121 is 1340196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 111,681,284

GCF of Fractions 111/286,681/852,284/121 is 1/1340196

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

Greatest Common Factor of 111,681,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,681,284 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 111,681,284 . The biggest common factor number is the GCF number.
So the greatest common factor 111,681,284 is 1.

Lets's calculate LCM of 286,852,121

2 286, 852, 121
11 143, 426, 121
13, 426, 11

∴ So the LCM of the given numbers is 2 x 11 x 13 x 426 x 11 = 1340196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1340196

Therefore, the GCF of Fractions 111/286,681/852,284/121 is 1/1340196

Least Common Multiple of 286,852,121 with GCF Formula

Least Common Multiple of 286,852,121 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 286,852,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,852,121) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(286,852,121) x common factors =1 x 22 = 22

LCM(286,852,121) = ( 286 × 852 × 121 ) / 22

LCM(286,852,121) = 29484312 / 22

LCM(286,852,121) = 1340196


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 111/286, 681/852, 284/121

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 111/286, 681/852, 284/121?

Answer: GCF of Numerators as per given numbers 111/286, 681/852, 284/121 is

GCF of Numerators i.e. for 111,681,284 is 1

LCM of denominators i.e. for 286,852,121 is 1340196.

Thus, GCF of Fractions is 1/1340196.Finally, GCF of Fractions for 111/286, 681/852, 284/121 is 1/1340196.