Greatest Common Factor of 680/542, 204/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/542, 204/170

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 680/542,204/170

Given fractions are 680/542,204/170

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 680,204

Greatest Common Factor of Numerators i.e. GCF of 680,204 is 68 .

LCM of Denominators means LCM of 542,170 as per the given fractions.

LCM of 542,170 is 46070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,204

GCF of Fractions 680/542,204/170 is 68/46070

2 680, 204
2 340, 102
17 170, 51
10, 3

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Greatest Common Factor of 680,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,204 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 680,204 . The biggest common factor number is the GCF number.
So the greatest common factor 680,204 is 68.

Lets's calculate LCM of 542,170

2 542, 170
271, 85

∴ So the LCM of the given numbers is 2 x 271 x 85 = 46070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/46070

Therefore, the GCF of Fractions 680/542,204/170 is 68/46070

Least Common Multiple of 542,170 with GCF Formula

Least Common Multiple of 542,170 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 542,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,170) = 2

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

GCF(542,170) x common factors =2 x 1 = 2

LCM(542,170) = ( 542 × 170 ) / 2

LCM(542,170) = 92140 / 2

LCM(542,170) = 46070


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 680/542, 204/170

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 680/542, 204/170?

Answer: GCF of Numerators as per given numbers 680/542, 204/170 is

GCF of Numerators i.e. for 680,204 is 68

LCM of denominators i.e. for 542,170 is 46070.

Thus, GCF of Fractions is 68/46070.Finally, GCF of Fractions for 680/542, 204/170 is 68/46070.