Greatest Common Factor of 58/271, 120/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/271, 120/707

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 58/271,120/707

Given fractions are 58/271,120/707

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 58,120

Greatest Common Factor of Numerators i.e. GCF of 58,120 is 2 .

LCM of Denominators means LCM of 271,707 as per the given fractions.

LCM of 271,707 is 191597 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,120

GCF of Fractions 58/271,120/707 is 2/191597

2 58, 120
29, 60

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

Greatest Common Factor of 58,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,120 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 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 58,120 . The biggest common factor number is the GCF number.
So the greatest common factor 58,120 is 2.

Lets's calculate LCM of 271,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 191597

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191597

Therefore, the GCF of Fractions 58/271,120/707 is 2/191597

Least Common Multiple of 271,707 with GCF Formula

Least Common Multiple of 271,707 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 271,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,707) = 1

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

GCF(271,707) x common factors =1 x 1 = 1

LCM(271,707) = ( 271 × 707 ) / 1

LCM(271,707) = 191597 / 1

LCM(271,707) = 191597


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 58/271, 120/707

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 58/271, 120/707?

Answer: GCF of Numerators as per given numbers 58/271, 120/707 is

GCF of Numerators i.e. for 58,120 is 2

LCM of denominators i.e. for 271,707 is 191597.

Thus, GCF of Fractions is 2/191597.Finally, GCF of Fractions for 58/271, 120/707 is 2/191597.