Greatest Common Factor of 1980/329, 9385/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1980/329, 9385/379

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 1980/329,9385/379

Given fractions are 1980/329,9385/379

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 1980,9385

Greatest Common Factor of Numerators i.e. GCF of 1980,9385 is 5 .

LCM of Denominators means LCM of 329,379 as per the given fractions.

LCM of 329,379 is 124691 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1980,9385

GCF of Fractions 1980/329,9385/379 is 5/124691

5 1980, 9385
396, 1877

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1980,9385 By Matching Biggest Common Factor Method

Greatest Common Factor of 1980,9385 By Matching Biggest Common Factor Method

Factors of 1980

List of positive integer factors of 1980 that divides 1980 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980

Factors of 9385

List of positive integer factors of 9385 that divides 9385 without a remainder.

1,5,1877,9385

Greatest Common Factor

We found the factors 1980,9385 . The biggest common factor number is the GCF number.
So the greatest common factor 1980,9385 is 5.

Lets's calculate LCM of 329,379

Given numbers has no common factors except 1. So, there LCM is their product i.e 124691

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/124691

Therefore, the GCF of Fractions 1980/329,9385/379 is 5/124691

Least Common Multiple of 329,379 with GCF Formula

Least Common Multiple of 329,379 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 329,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,379) = 1

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

GCF(329,379) x common factors =1 x 1 = 1

LCM(329,379) = ( 329 × 379 ) / 1

LCM(329,379) = 124691 / 1

LCM(329,379) = 124691


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 1980/329, 9385/379

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 1980/329, 9385/379?

Answer: GCF of Numerators as per given numbers 1980/329, 9385/379 is

GCF of Numerators i.e. for 1980,9385 is 5

LCM of denominators i.e. for 329,379 is 124691.

Thus, GCF of Fractions is 5/124691.Finally, GCF of Fractions for 1980/329, 9385/379 is 5/124691.