Greatest Common Factor of 568/770, 729/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/770, 729/106

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 568/770,729/106

Given fractions are 568/770,729/106

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 568,729

Greatest Common Factor of Numerators i.e. GCF of 568,729 is 1 .

LCM of Denominators means LCM of 770,106 as per the given fractions.

LCM of 770,106 is 40810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,729

GCF of Fractions 568/770,729/106 is 1/40810

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

Greatest Common Factor of 568,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,729 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 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 568,729 . The biggest common factor number is the GCF number.
So the greatest common factor 568,729 is 1.

Lets's calculate LCM of 770,106

2 770, 106
385, 53

∴ So the LCM of the given numbers is 2 x 385 x 53 = 40810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40810

Therefore, the GCF of Fractions 568/770,729/106 is 1/40810

Least Common Multiple of 770,106 with GCF Formula

Least Common Multiple of 770,106 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 770,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,106) = 2

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

GCF(770,106) x common factors =2 x 1 = 2

LCM(770,106) = ( 770 × 106 ) / 2

LCM(770,106) = 81620 / 2

LCM(770,106) = 40810


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 568/770, 729/106

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 568/770, 729/106?

Answer: GCF of Numerators as per given numbers 568/770, 729/106 is

GCF of Numerators i.e. for 568,729 is 1

LCM of denominators i.e. for 770,106 is 40810.

Thus, GCF of Fractions is 1/40810.Finally, GCF of Fractions for 568/770, 729/106 is 1/40810.