Greatest Common Factor of 536/155, 288/306, 567/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 536/155, 288/306, 567/281

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 536/155,288/306,567/281

Given fractions are 536/155,288/306,567/281

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 536,288,567

Greatest Common Factor of Numerators i.e. GCF of 536,288,567 is 1 .

LCM of Denominators means LCM of 155,306,281 as per the given fractions.

LCM of 155,306,281 is 13327830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 536,288,567

GCF of Fractions 536/155,288/306,567/281 is 1/13327830

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

Greatest Common Factor of 536,288,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,288,567 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 536,288,567 . The biggest common factor number is the GCF number.
So the greatest common factor 536,288,567 is 1.

Lets's calculate LCM of 155,306,281

Given numbers has no common factors except 1. So, there LCM is their product i.e 13327830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13327830

Therefore, the GCF of Fractions 536/155,288/306,567/281 is 1/13327830

Least Common Multiple of 155,306,281 with GCF Formula

Least Common Multiple of 155,306,281 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 155,306,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,306,281) = 1

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

GCF(155,306,281) x common factors =1 x 1 = 1

LCM(155,306,281) = ( 155 × 306 × 281 ) / 1

LCM(155,306,281) = 13327830 / 1

LCM(155,306,281) = 13327830


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 536/155, 288/306, 567/281

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 536/155, 288/306, 567/281?

Answer: GCF of Numerators as per given numbers 536/155, 288/306, 567/281 is

GCF of Numerators i.e. for 536,288,567 is 1

LCM of denominators i.e. for 155,306,281 is 13327830.

Thus, GCF of Fractions is 1/13327830.Finally, GCF of Fractions for 536/155, 288/306, 567/281 is 1/13327830.