Greatest Common Factor of 111/69, 706/33, 563/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 111/69, 706/33, 563/711

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 111/69,706/33,563/711

Given fractions are 111/69,706/33,563/711

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 111,706,563

Greatest Common Factor of Numerators i.e. GCF of 111,706,563 is 1 .

LCM of Denominators means LCM of 69,33,711 as per the given fractions.

LCM of 69,33,711 is 179883 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 111,706,563

GCF of Fractions 111/69,706/33,563/711 is 1/179883

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

Greatest Common Factor of 111,706,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,706,563 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 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 111,706,563 . The biggest common factor number is the GCF number.
So the greatest common factor 111,706,563 is 1.

Lets's calculate LCM of 69,33,711

3 69, 33, 711
23, 11, 237

∴ So the LCM of the given numbers is 3 x 23 x 11 x 237 = 179883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179883

Therefore, the GCF of Fractions 111/69,706/33,563/711 is 1/179883

Least Common Multiple of 69,33,711 with GCF Formula

Least Common Multiple of 69,33,711 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 69,33,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,33,711) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,33,711) x common factors =3 x 3 = 9

LCM(69,33,711) = ( 69 × 33 × 711 ) / 9

LCM(69,33,711) = 1618947 / 9

LCM(69,33,711) = 179883


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 111/69, 706/33, 563/711

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 111/69, 706/33, 563/711?

Answer: GCF of Numerators as per given numbers 111/69, 706/33, 563/711 is

GCF of Numerators i.e. for 111,706,563 is 1

LCM of denominators i.e. for 69,33,711 is 179883.

Thus, GCF of Fractions is 1/179883.Finally, GCF of Fractions for 111/69, 706/33, 563/711 is 1/179883.