Greatest Common Factor of 3932/58, 1598/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3932/58, 1598/362

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 3932/58,1598/362

Given fractions are 3932/58,1598/362

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 3932,1598

Greatest Common Factor of Numerators i.e. GCF of 3932,1598 is 2 .

LCM of Denominators means LCM of 58,362 as per the given fractions.

LCM of 58,362 is 10498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3932,1598

GCF of Fractions 3932/58,1598/362 is 2/10498

2 3932, 1598
1966, 799

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

Greatest Common Factor of 3932,1598 By Matching Biggest Common Factor Method

Greatest Common Factor of 3932,1598 By Matching Biggest Common Factor Method

Factors of 3932

List of positive integer factors of 3932 that divides 3932 without a remainder.

1,2,4,983,1966,3932

Factors of 1598

List of positive integer factors of 1598 that divides 1598 without a remainder.

1,2,17,34,47,94,799,1598

Greatest Common Factor

We found the factors 3932,1598 . The biggest common factor number is the GCF number.
So the greatest common factor 3932,1598 is 2.

Lets's calculate LCM of 58,362

2 58, 362
29, 181

∴ So the LCM of the given numbers is 2 x 29 x 181 = 10498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10498

Therefore, the GCF of Fractions 3932/58,1598/362 is 2/10498

Least Common Multiple of 58,362 with GCF Formula

Least Common Multiple of 58,362 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 58,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,362) = 2

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

GCF(58,362) x common factors =2 x 1 = 2

LCM(58,362) = ( 58 × 362 ) / 2

LCM(58,362) = 20996 / 2

LCM(58,362) = 10498


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 3932/58, 1598/362

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 3932/58, 1598/362?

Answer: GCF of Numerators as per given numbers 3932/58, 1598/362 is

GCF of Numerators i.e. for 3932,1598 is 2

LCM of denominators i.e. for 58,362 is 10498.

Thus, GCF of Fractions is 2/10498.Finally, GCF of Fractions for 3932/58, 1598/362 is 2/10498.