Greatest Common Factor of 568/797, 869/306, 211/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/797, 869/306, 211/288

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 568/797,869/306,211/288

Given fractions are 568/797,869/306,211/288

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 568,869,211

Greatest Common Factor of Numerators i.e. GCF of 568,869,211 is 1 .

LCM of Denominators means LCM of 797,306,288 as per the given fractions.

LCM of 797,306,288 is 3902112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,869,211

GCF of Fractions 568/797,869/306,211/288 is 1/3902112

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

Greatest Common Factor of 568,869,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,869,211 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 568,869,211 . The biggest common factor number is the GCF number.
So the greatest common factor 568,869,211 is 1.

Lets's calculate LCM of 797,306,288

2 797, 306, 288
3 797, 153, 144
3 797, 51, 48
797, 17, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 797 x 17 x 16 = 3902112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3902112

Therefore, the GCF of Fractions 568/797,869/306,211/288 is 1/3902112

Least Common Multiple of 797,306,288 with GCF Formula

Least Common Multiple of 797,306,288 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 797,306,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,306,288) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(797,306,288) x common factors =1 x 18 = 18

LCM(797,306,288) = ( 797 × 306 × 288 ) / 18

LCM(797,306,288) = 70238016 / 18

LCM(797,306,288) = 3902112


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 568/797, 869/306, 211/288

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 568/797, 869/306, 211/288?

Answer: GCF of Numerators as per given numbers 568/797, 869/306, 211/288 is

GCF of Numerators i.e. for 568,869,211 is 1

LCM of denominators i.e. for 797,306,288 is 3902112.

Thus, GCF of Fractions is 1/3902112.Finally, GCF of Fractions for 568/797, 869/306, 211/288 is 1/3902112.