Greatest Common Factor of 4340/58, 5982/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4340/58, 5982/372

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 4340/58,5982/372

Given fractions are 4340/58,5982/372

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 4340,5982

Greatest Common Factor of Numerators i.e. GCF of 4340,5982 is 2 .

LCM of Denominators means LCM of 58,372 as per the given fractions.

LCM of 58,372 is 10788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4340,5982

GCF of Fractions 4340/58,5982/372 is 2/10788

2 4340, 5982
2170, 2991

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

Greatest Common Factor of 4340,5982 By Matching Biggest Common Factor Method

Greatest Common Factor of 4340,5982 By Matching Biggest Common Factor Method

Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1,2,3,6,997,1994,2991,5982

Greatest Common Factor

We found the factors 4340,5982 . The biggest common factor number is the GCF number.
So the greatest common factor 4340,5982 is 2.

Lets's calculate LCM of 58,372

2 58, 372
29, 186

∴ So the LCM of the given numbers is 2 x 29 x 186 = 10788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10788

Therefore, the GCF of Fractions 4340/58,5982/372 is 2/10788

Least Common Multiple of 58,372 with GCF Formula

Least Common Multiple of 58,372 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 58,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,372) = 2

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

GCF(58,372) x common factors =2 x 1 = 2

LCM(58,372) = ( 58 × 372 ) / 2

LCM(58,372) = 21576 / 2

LCM(58,372) = 10788


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 4340/58, 5982/372

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 4340/58, 5982/372?

Answer: GCF of Numerators as per given numbers 4340/58, 5982/372 is

GCF of Numerators i.e. for 4340,5982 is 2

LCM of denominators i.e. for 58,372 is 10788.

Thus, GCF of Fractions is 2/10788.Finally, GCF of Fractions for 4340/58, 5982/372 is 2/10788.