Greatest Common Factor of 1980/102, 3017/6310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1980/102, 3017/6310

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 1980/102,3017/6310

Given fractions are 1980/102,3017/6310

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 1980,3017

Greatest Common Factor of Numerators i.e. GCF of 1980,3017 is 1 .

LCM of Denominators means LCM of 102,6310 as per the given fractions.

LCM of 102,6310 is 321810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1980,3017

GCF of Fractions 1980/102,3017/6310 is 1/321810

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

Greatest Common Factor of 1980,3017 By Matching Biggest Common Factor Method

Greatest Common Factor of 1980,3017 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 3017

List of positive integer factors of 3017 that divides 3017 without a remainder.

1,7,431,3017

Greatest Common Factor

We found the factors 1980,3017 . The biggest common factor number is the GCF number.
So the greatest common factor 1980,3017 is 1.

Lets's calculate LCM of 102,6310

2 102, 6310
51, 3155

∴ So the LCM of the given numbers is 2 x 51 x 3155 = 321810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321810

Therefore, the GCF of Fractions 1980/102,3017/6310 is 1/321810

Least Common Multiple of 102,6310 with GCF Formula

Least Common Multiple of 102,6310 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 102,6310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,6310) = 2

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

GCF(102,6310) x common factors =2 x 1 = 2

LCM(102,6310) = ( 102 × 6310 ) / 2

LCM(102,6310) = 643620 / 2

LCM(102,6310) = 321810


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 1980/102, 3017/6310

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 1980/102, 3017/6310?

Answer: GCF of Numerators as per given numbers 1980/102, 3017/6310 is

GCF of Numerators i.e. for 1980,3017 is 1

LCM of denominators i.e. for 102,6310 is 321810.

Thus, GCF of Fractions is 1/321810.Finally, GCF of Fractions for 1980/102, 3017/6310 is 1/321810.