Greatest Common Factor of 679/205, 560/761, 829/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 679/205, 560/761, 829/874

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 679/205,560/761,829/874

Given fractions are 679/205,560/761,829/874

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 679,560,829

Greatest Common Factor of Numerators i.e. GCF of 679,560,829 is 1 .

LCM of Denominators means LCM of 205,761,874 as per the given fractions.

LCM of 205,761,874 is 136348370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 679,560,829

GCF of Fractions 679/205,560/761,829/874 is 1/136348370

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

Greatest Common Factor of 679,560,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,560,829 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 679,560,829 . The biggest common factor number is the GCF number.
So the greatest common factor 679,560,829 is 1.

Lets's calculate LCM of 205,761,874

Given numbers has no common factors except 1. So, there LCM is their product i.e 136348370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136348370

Therefore, the GCF of Fractions 679/205,560/761,829/874 is 1/136348370

Least Common Multiple of 205,761,874 with GCF Formula

Least Common Multiple of 205,761,874 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 205,761,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,761,874) = 1

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

GCF(205,761,874) x common factors =1 x 1 = 1

LCM(205,761,874) = ( 205 × 761 × 874 ) / 1

LCM(205,761,874) = 136348370 / 1

LCM(205,761,874) = 136348370


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 679/205, 560/761, 829/874

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 679/205, 560/761, 829/874?

Answer: GCF of Numerators as per given numbers 679/205, 560/761, 829/874 is

GCF of Numerators i.e. for 679,560,829 is 1

LCM of denominators i.e. for 205,761,874 is 136348370.

Thus, GCF of Fractions is 1/136348370.Finally, GCF of Fractions for 679/205, 560/761, 829/874 is 1/136348370.