Greatest Common Factor of 2962/19, 7307/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2962/19, 7307/438

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 2962/19,7307/438

Given fractions are 2962/19,7307/438

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 2962,7307

Greatest Common Factor of Numerators i.e. GCF of 2962,7307 is 1 .

LCM of Denominators means LCM of 19,438 as per the given fractions.

LCM of 19,438 is 8322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2962,7307

GCF of Fractions 2962/19,7307/438 is 1/8322

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

Greatest Common Factor of 2962,7307 By Matching Biggest Common Factor Method

Greatest Common Factor of 2962,7307 By Matching Biggest Common Factor Method

Factors of 2962

List of positive integer factors of 2962 that divides 2962 without a remainder.

1,2,1481,2962

Factors of 7307

List of positive integer factors of 7307 that divides 7307 without a remainder.

1,7307

Greatest Common Factor

We found the factors 2962,7307 . The biggest common factor number is the GCF number.
So the greatest common factor 2962,7307 is 1.

Lets's calculate LCM of 19,438

Given numbers has no common factors except 1. So, there LCM is their product i.e 8322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8322

Therefore, the GCF of Fractions 2962/19,7307/438 is 1/8322

Least Common Multiple of 19,438 with GCF Formula

Least Common Multiple of 19,438 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 19,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,438) = 1

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

GCF(19,438) x common factors =1 x 1 = 1

LCM(19,438) = ( 19 × 438 ) / 1

LCM(19,438) = 8322 / 1

LCM(19,438) = 8322


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 2962/19, 7307/438

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 2962/19, 7307/438?

Answer: GCF of Numerators as per given numbers 2962/19, 7307/438 is

GCF of Numerators i.e. for 2962,7307 is 1

LCM of denominators i.e. for 19,438 is 8322.

Thus, GCF of Fractions is 1/8322.Finally, GCF of Fractions for 2962/19, 7307/438 is 1/8322.