Greatest Common Factor of 639/28, 175/17, 194/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 639/28, 175/17, 194/58

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 639/28,175/17,194/58

Given fractions are 639/28,175/17,194/58

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 639,175,194

Greatest Common Factor of Numerators i.e. GCF of 639,175,194 is 1 .

LCM of Denominators means LCM of 28,17,58 as per the given fractions.

LCM of 28,17,58 is 13804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 639,175,194

GCF of Fractions 639/28,175/17,194/58 is 1/13804

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

Greatest Common Factor of 639,175,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,175,194 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 639,175,194 . The biggest common factor number is the GCF number.
So the greatest common factor 639,175,194 is 1.

Lets's calculate LCM of 28,17,58

2 28, 17, 58
14, 17, 29

∴ So the LCM of the given numbers is 2 x 14 x 17 x 29 = 13804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13804

Therefore, the GCF of Fractions 639/28,175/17,194/58 is 1/13804

Least Common Multiple of 28,17,58 with GCF Formula

Least Common Multiple of 28,17,58 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 28,17,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,17,58) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(28,17,58) x common factors =1 x 2 = 2

LCM(28,17,58) = ( 28 × 17 × 58 ) / 2

LCM(28,17,58) = 27608 / 2

LCM(28,17,58) = 13804


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 639/28, 175/17, 194/58

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 639/28, 175/17, 194/58?

Answer: GCF of Numerators as per given numbers 639/28, 175/17, 194/58 is

GCF of Numerators i.e. for 639,175,194 is 1

LCM of denominators i.e. for 28,17,58 is 13804.

Thus, GCF of Fractions is 1/13804.Finally, GCF of Fractions for 639/28, 175/17, 194/58 is 1/13804.