Greatest Common Factor of 111/67, 592/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 111/67, 592/684

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 111/67,592/684

Given fractions are 111/67,592/684

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 111,592

Greatest Common Factor of Numerators i.e. GCF of 111,592 is 37 .

LCM of Denominators means LCM of 67,684 as per the given fractions.

LCM of 67,684 is 45828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 111,592

GCF of Fractions 111/67,592/684 is 37/45828

37 111, 592
3, 16

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 111,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,592 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 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 111,592 . The biggest common factor number is the GCF number.
So the greatest common factor 111,592 is 37.

Lets's calculate LCM of 67,684

Given numbers has no common factors except 1. So, there LCM is their product i.e 45828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/45828

Therefore, the GCF of Fractions 111/67,592/684 is 37/45828

Least Common Multiple of 67,684 with GCF Formula

Least Common Multiple of 67,684 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 67,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,684) = 1

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

GCF(67,684) x common factors =1 x 1 = 1

LCM(67,684) = ( 67 × 684 ) / 1

LCM(67,684) = 45828 / 1

LCM(67,684) = 45828


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 111/67, 592/684

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 111/67, 592/684?

Answer: GCF of Numerators as per given numbers 111/67, 592/684 is

GCF of Numerators i.e. for 111,592 is 37

LCM of denominators i.e. for 67,684 is 45828.

Thus, GCF of Fractions is 37/45828.Finally, GCF of Fractions for 111/67, 592/684 is 37/45828.