Greatest Common Factor of 174/63, 183/98, 939/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/63, 183/98, 939/273

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 174/63,183/98,939/273

Given fractions are 174/63,183/98,939/273

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 174,183,939

Greatest Common Factor of Numerators i.e. GCF of 174,183,939 is 3 .

LCM of Denominators means LCM of 63,98,273 as per the given fractions.

LCM of 63,98,273 is 11466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,183,939

GCF of Fractions 174/63,183/98,939/273 is 3/11466

3 174, 183, 939
58, 61, 313

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 174,183,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,183,939 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 174,183,939 . The biggest common factor number is the GCF number.
So the greatest common factor 174,183,939 is 3.

Lets's calculate LCM of 63,98,273

3 63, 98, 273
7 21, 98, 91
3, 14, 13

∴ So the LCM of the given numbers is 3 x 7 x 3 x 14 x 13 = 11466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11466

Therefore, the GCF of Fractions 174/63,183/98,939/273 is 3/11466

Least Common Multiple of 63,98,273 with GCF Formula

Least Common Multiple of 63,98,273 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 63,98,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,98,273) = 7

common factors(in case of two or more numbers have common factors) = 21

GCF(63,98,273) x common factors =7 x 21 = 147

LCM(63,98,273) = ( 63 × 98 × 273 ) / 147

LCM(63,98,273) = 1685502 / 147

LCM(63,98,273) = 11466


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 174/63, 183/98, 939/273

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 174/63, 183/98, 939/273?

Answer: GCF of Numerators as per given numbers 174/63, 183/98, 939/273 is

GCF of Numerators i.e. for 174,183,939 is 3

LCM of denominators i.e. for 63,98,273 is 11466.

Thus, GCF of Fractions is 3/11466.Finally, GCF of Fractions for 174/63, 183/98, 939/273 is 3/11466.