Greatest Common Factor of 571/24, 802/95, 536/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 571/24, 802/95, 536/540

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 571/24,802/95,536/540

Given fractions are 571/24,802/95,536/540

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 571,802,536

Greatest Common Factor of Numerators i.e. GCF of 571,802,536 is 1 .

LCM of Denominators means LCM of 24,95,540 as per the given fractions.

LCM of 24,95,540 is 20520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 571,802,536

GCF of Fractions 571/24,802/95,536/540 is 1/20520

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

Greatest Common Factor of 571,802,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 571,802,536 By Matching Biggest Common Factor Method

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 536

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

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

Greatest Common Factor

We found the factors 571,802,536 . The biggest common factor number is the GCF number.
So the greatest common factor 571,802,536 is 1.

Lets's calculate LCM of 24,95,540

2 24, 95, 540
2 12, 95, 270
3 6, 95, 135
5 2, 95, 45
2, 19, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 19 x 9 = 20520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20520

Therefore, the GCF of Fractions 571/24,802/95,536/540 is 1/20520

Least Common Multiple of 24,95,540 with GCF Formula

Least Common Multiple of 24,95,540 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 24,95,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,95,540) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(24,95,540) x common factors =1 x 60 = 60

LCM(24,95,540) = ( 24 × 95 × 540 ) / 60

LCM(24,95,540) = 1231200 / 60

LCM(24,95,540) = 20520


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 571/24, 802/95, 536/540

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 571/24, 802/95, 536/540?

Answer: GCF of Numerators as per given numbers 571/24, 802/95, 536/540 is

GCF of Numerators i.e. for 571,802,536 is 1

LCM of denominators i.e. for 24,95,540 is 20520.

Thus, GCF of Fractions is 1/20520.Finally, GCF of Fractions for 571/24, 802/95, 536/540 is 1/20520.