Greatest Common Factor of 341/148, 3058/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/148, 3058/405

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 341/148,3058/405

Given fractions are 341/148,3058/405

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 341,3058

Greatest Common Factor of Numerators i.e. GCF of 341,3058 is 11 .

LCM of Denominators means LCM of 148,405 as per the given fractions.

LCM of 148,405 is 59940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,3058

GCF of Fractions 341/148,3058/405 is 11/59940

11 341, 3058
31, 278

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 341,3058 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,3058 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 3058

List of positive integer factors of 3058 that divides 3058 without a remainder.

1,2,11,22,139,278,1529,3058

Greatest Common Factor

We found the factors 341,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 341,3058 is 11.

Lets's calculate LCM of 148,405

Given numbers has no common factors except 1. So, there LCM is their product i.e 59940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/59940

Therefore, the GCF of Fractions 341/148,3058/405 is 11/59940

Least Common Multiple of 148,405 with GCF Formula

Least Common Multiple of 148,405 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 148,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,405) = 1

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

GCF(148,405) x common factors =1 x 1 = 1

LCM(148,405) = ( 148 × 405 ) / 1

LCM(148,405) = 59940 / 1

LCM(148,405) = 59940


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 341/148, 3058/405

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 341/148, 3058/405?

Answer: GCF of Numerators as per given numbers 341/148, 3058/405 is

GCF of Numerators i.e. for 341,3058 is 11

LCM of denominators i.e. for 148,405 is 59940.

Thus, GCF of Fractions is 11/59940.Finally, GCF of Fractions for 341/148, 3058/405 is 11/59940.