Greatest Common Factor of 381/58, 349/13, 198/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 381/58, 349/13, 198/77

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 381/58,349/13,198/77

Given fractions are 381/58,349/13,198/77

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 381,349,198

Greatest Common Factor of Numerators i.e. GCF of 381,349,198 is 1 .

LCM of Denominators means LCM of 58,13,77 as per the given fractions.

LCM of 58,13,77 is 58058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 381,349,198

GCF of Fractions 381/58,349/13,198/77 is 1/58058

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

Greatest Common Factor of 381,349,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,349,198 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 381,349,198 . The biggest common factor number is the GCF number.
So the greatest common factor 381,349,198 is 1.

Lets's calculate LCM of 58,13,77

Given numbers has no common factors except 1. So, there LCM is their product i.e 58058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58058

Therefore, the GCF of Fractions 381/58,349/13,198/77 is 1/58058

Least Common Multiple of 58,13,77 with GCF Formula

Least Common Multiple of 58,13,77 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 58,13,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,13,77) = 1

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

GCF(58,13,77) x common factors =1 x 1 = 1

LCM(58,13,77) = ( 58 × 13 × 77 ) / 1

LCM(58,13,77) = 58058 / 1

LCM(58,13,77) = 58058


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 381/58, 349/13, 198/77

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 381/58, 349/13, 198/77?

Answer: GCF of Numerators as per given numbers 381/58, 349/13, 198/77 is

GCF of Numerators i.e. for 381,349,198 is 1

LCM of denominators i.e. for 58,13,77 is 58058.

Thus, GCF of Fractions is 1/58058.Finally, GCF of Fractions for 381/58, 349/13, 198/77 is 1/58058.