Greatest Common Factor of 2420/301, 9458/1339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2420/301, 9458/1339

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 2420/301,9458/1339

Given fractions are 2420/301,9458/1339

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 2420,9458

Greatest Common Factor of Numerators i.e. GCF of 2420,9458 is 2 .

LCM of Denominators means LCM of 301,1339 as per the given fractions.

LCM of 301,1339 is 403039 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2420,9458

GCF of Fractions 2420/301,9458/1339 is 2/403039

2 2420, 9458
1210, 4729

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

Greatest Common Factor of 2420,9458 By Matching Biggest Common Factor Method

Greatest Common Factor of 2420,9458 By Matching Biggest Common Factor Method

Factors of 2420

List of positive integer factors of 2420 that divides 2420 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420

Factors of 9458

List of positive integer factors of 9458 that divides 9458 without a remainder.

1,2,4729,9458

Greatest Common Factor

We found the factors 2420,9458 . The biggest common factor number is the GCF number.
So the greatest common factor 2420,9458 is 2.

Lets's calculate LCM of 301,1339

Given numbers has no common factors except 1. So, there LCM is their product i.e 403039

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/403039

Therefore, the GCF of Fractions 2420/301,9458/1339 is 2/403039

Least Common Multiple of 301,1339 with GCF Formula

Least Common Multiple of 301,1339 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 301,1339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,1339) = 1

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

GCF(301,1339) x common factors =1 x 1 = 1

LCM(301,1339) = ( 301 × 1339 ) / 1

LCM(301,1339) = 403039 / 1

LCM(301,1339) = 403039


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 2420/301, 9458/1339

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 2420/301, 9458/1339?

Answer: GCF of Numerators as per given numbers 2420/301, 9458/1339 is

GCF of Numerators i.e. for 2420,9458 is 2

LCM of denominators i.e. for 301,1339 is 403039.

Thus, GCF of Fractions is 2/403039.Finally, GCF of Fractions for 2420/301, 9458/1339 is 2/403039.