Greatest Common Factor of 58/320, 273/945, 167/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/320, 273/945, 167/336

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 58/320,273/945,167/336

Given fractions are 58/320,273/945,167/336

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 58,273,167

Greatest Common Factor of Numerators i.e. GCF of 58,273,167 is 1 .

LCM of Denominators means LCM of 320,945,336 as per the given fractions.

LCM of 320,945,336 is 60480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,273,167

GCF of Fractions 58/320,273/945,167/336 is 1/60480

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

Greatest Common Factor of 58,273,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,273,167 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 58,273,167 . The biggest common factor number is the GCF number.
So the greatest common factor 58,273,167 is 1.

Lets's calculate LCM of 320,945,336

2 320, 945, 336
2 160, 945, 168
2 80, 945, 84
2 40, 945, 42
3 20, 945, 21
5 20, 315, 7
7 4, 63, 7
4, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 7 x 4 x 9 x 1 = 60480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60480

Therefore, the GCF of Fractions 58/320,273/945,167/336 is 1/60480

Least Common Multiple of 320,945,336 with GCF Formula

Least Common Multiple of 320,945,336 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 320,945,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,945,336) = 1

common factors(in case of two or more numbers have common factors) = 1680

GCF(320,945,336) x common factors =1 x 1680 = 1680

LCM(320,945,336) = ( 320 × 945 × 336 ) / 1680

LCM(320,945,336) = 101606400 / 1680

LCM(320,945,336) = 60480


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 58/320, 273/945, 167/336

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 58/320, 273/945, 167/336?

Answer: GCF of Numerators as per given numbers 58/320, 273/945, 167/336 is

GCF of Numerators i.e. for 58,273,167 is 1

LCM of denominators i.e. for 320,945,336 is 60480.

Thus, GCF of Fractions is 1/60480.Finally, GCF of Fractions for 58/320, 273/945, 167/336 is 1/60480.