Greatest Common Factor of 58/307, 436/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/307, 436/420

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 58/307,436/420

Given fractions are 58/307,436/420

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 58,436

Greatest Common Factor of Numerators i.e. GCF of 58,436 is 2 .

LCM of Denominators means LCM of 307,420 as per the given fractions.

LCM of 307,420 is 128940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,436

GCF of Fractions 58/307,436/420 is 2/128940

2 58, 436
29, 218

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

Greatest Common Factor of 58,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,436 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 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 58,436 . The biggest common factor number is the GCF number.
So the greatest common factor 58,436 is 2.

Lets's calculate LCM of 307,420

Given numbers has no common factors except 1. So, there LCM is their product i.e 128940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128940

Therefore, the GCF of Fractions 58/307,436/420 is 2/128940

Least Common Multiple of 307,420 with GCF Formula

Least Common Multiple of 307,420 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 307,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,420) = 1

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

GCF(307,420) x common factors =1 x 1 = 1

LCM(307,420) = ( 307 × 420 ) / 1

LCM(307,420) = 128940 / 1

LCM(307,420) = 128940


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 58/307, 436/420

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 58/307, 436/420?

Answer: GCF of Numerators as per given numbers 58/307, 436/420 is

GCF of Numerators i.e. for 58,436 is 2

LCM of denominators i.e. for 307,420 is 128940.

Thus, GCF of Fractions is 2/128940.Finally, GCF of Fractions for 58/307, 436/420 is 2/128940.