Greatest Common Factor of 638/42, 176/17, 592/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 638/42, 176/17, 592/17

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 638/42,176/17,592/17

Given fractions are 638/42,176/17,592/17

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 638,176,592

Greatest Common Factor of Numerators i.e. GCF of 638,176,592 is 2 .

LCM of Denominators means LCM of 42,17,17 as per the given fractions.

LCM of 42,17,17 is 714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 638,176,592

GCF of Fractions 638/42,176/17,592/17 is 2/714

2 638, 176, 592
319, 88, 296

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 638,176,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,176,592 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 638,176,592 . The biggest common factor number is the GCF number.
So the greatest common factor 638,176,592 is 2.

Lets's calculate LCM of 42,17,17

17 42, 17, 17
42, 1, 1

∴ So the LCM of the given numbers is 17 x 42 x 1 x 1 = 714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/714

Therefore, the GCF of Fractions 638/42,176/17,592/17 is 2/714

Least Common Multiple of 42,17,17 with GCF Formula

Least Common Multiple of 42,17,17 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 42,17,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,17,17) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(42,17,17) x common factors =1 x 17 = 17

LCM(42,17,17) = ( 42 × 17 × 17 ) / 17

LCM(42,17,17) = 12138 / 17

LCM(42,17,17) = 714


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 638/42, 176/17, 592/17

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 638/42, 176/17, 592/17?

Answer: GCF of Numerators as per given numbers 638/42, 176/17, 592/17 is

GCF of Numerators i.e. for 638,176,592 is 2

LCM of denominators i.e. for 42,17,17 is 714.

Thus, GCF of Fractions is 2/714.Finally, GCF of Fractions for 638/42, 176/17, 592/17 is 2/714.