Greatest Common Factor of 2367/467, 4825/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2367/467, 4825/341

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 2367/467,4825/341

Given fractions are 2367/467,4825/341

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 2367,4825

Greatest Common Factor of Numerators i.e. GCF of 2367,4825 is 1 .

LCM of Denominators means LCM of 467,341 as per the given fractions.

LCM of 467,341 is 159247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2367,4825

GCF of Fractions 2367/467,4825/341 is 1/159247

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

Greatest Common Factor of 2367,4825 By Matching Biggest Common Factor Method

Greatest Common Factor of 2367,4825 By Matching Biggest Common Factor Method

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1,3,9,263,789,2367

Factors of 4825

List of positive integer factors of 4825 that divides 4825 without a remainder.

1,5,25,193,965,4825

Greatest Common Factor

We found the factors 2367,4825 . The biggest common factor number is the GCF number.
So the greatest common factor 2367,4825 is 1.

Lets's calculate LCM of 467,341

Given numbers has no common factors except 1. So, there LCM is their product i.e 159247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159247

Therefore, the GCF of Fractions 2367/467,4825/341 is 1/159247

Least Common Multiple of 467,341 with GCF Formula

Least Common Multiple of 467,341 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 467,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,341) = 1

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

GCF(467,341) x common factors =1 x 1 = 1

LCM(467,341) = ( 467 × 341 ) / 1

LCM(467,341) = 159247 / 1

LCM(467,341) = 159247


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 2367/467, 4825/341

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 2367/467, 4825/341?

Answer: GCF of Numerators as per given numbers 2367/467, 4825/341 is

GCF of Numerators i.e. for 2367,4825 is 1

LCM of denominators i.e. for 467,341 is 159247.

Thus, GCF of Fractions is 1/159247.Finally, GCF of Fractions for 2367/467, 4825/341 is 1/159247.