Greatest Common Factor of 9203/82, 2998/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9203/82, 2998/380

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 9203/82,2998/380

Given fractions are 9203/82,2998/380

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 9203,2998

Greatest Common Factor of Numerators i.e. GCF of 9203,2998 is 1 .

LCM of Denominators means LCM of 82,380 as per the given fractions.

LCM of 82,380 is 15580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9203,2998

GCF of Fractions 9203/82,2998/380 is 1/15580

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

Greatest Common Factor of 9203,2998 By Matching Biggest Common Factor Method

Greatest Common Factor of 9203,2998 By Matching Biggest Common Factor Method

Factors of 9203

List of positive integer factors of 9203 that divides 9203 without a remainder.

1,9203

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Greatest Common Factor

We found the factors 9203,2998 . The biggest common factor number is the GCF number.
So the greatest common factor 9203,2998 is 1.

Lets's calculate LCM of 82,380

2 82, 380
41, 190

∴ So the LCM of the given numbers is 2 x 41 x 190 = 15580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15580

Therefore, the GCF of Fractions 9203/82,2998/380 is 1/15580

Least Common Multiple of 82,380 with GCF Formula

Least Common Multiple of 82,380 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 82,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,380) = 2

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

GCF(82,380) x common factors =2 x 1 = 2

LCM(82,380) = ( 82 × 380 ) / 2

LCM(82,380) = 31160 / 2

LCM(82,380) = 15580


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 9203/82, 2998/380

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 9203/82, 2998/380?

Answer: GCF of Numerators as per given numbers 9203/82, 2998/380 is

GCF of Numerators i.e. for 9203,2998 is 1

LCM of denominators i.e. for 82,380 is 15580.

Thus, GCF of Fractions is 1/15580.Finally, GCF of Fractions for 9203/82, 2998/380 is 1/15580.