Greatest Common Factor of 382/58, 307/3582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/58, 307/3582

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 382/58,307/3582

Given fractions are 382/58,307/3582

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 382,307

Greatest Common Factor of Numerators i.e. GCF of 382,307 is 1 .

LCM of Denominators means LCM of 58,3582 as per the given fractions.

LCM of 58,3582 is 103878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,307

GCF of Fractions 382/58,307/3582 is 1/103878

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

Greatest Common Factor of 382,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,307 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 382,307 . The biggest common factor number is the GCF number.
So the greatest common factor 382,307 is 1.

Lets's calculate LCM of 58,3582

2 58, 3582
29, 1791

∴ So the LCM of the given numbers is 2 x 29 x 1791 = 103878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103878

Therefore, the GCF of Fractions 382/58,307/3582 is 1/103878

Least Common Multiple of 58,3582 with GCF Formula

Least Common Multiple of 58,3582 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 58,3582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,3582) = 2

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

GCF(58,3582) x common factors =2 x 1 = 2

LCM(58,3582) = ( 58 × 3582 ) / 2

LCM(58,3582) = 207756 / 2

LCM(58,3582) = 103878


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 382/58, 307/3582

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 382/58, 307/3582?

Answer: GCF of Numerators as per given numbers 382/58, 307/3582 is

GCF of Numerators i.e. for 382,307 is 1

LCM of denominators i.e. for 58,3582 is 103878.

Thus, GCF of Fractions is 1/103878.Finally, GCF of Fractions for 382/58, 307/3582 is 1/103878.