Greatest Common Factor of 2754/19, 1719/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2754/19, 1719/662

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 2754/19,1719/662

Given fractions are 2754/19,1719/662

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 2754,1719

Greatest Common Factor of Numerators i.e. GCF of 2754,1719 is 9 .

LCM of Denominators means LCM of 19,662 as per the given fractions.

LCM of 19,662 is 12578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2754,1719

GCF of Fractions 2754/19,1719/662 is 9/12578

3 2754, 1719
3 918, 573
306, 191

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2754,1719 By Matching Biggest Common Factor Method

Greatest Common Factor of 2754,1719 By Matching Biggest Common Factor Method

Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754

Factors of 1719

List of positive integer factors of 1719 that divides 1719 without a remainder.

1,3,9,191,573,1719

Greatest Common Factor

We found the factors 2754,1719 . The biggest common factor number is the GCF number.
So the greatest common factor 2754,1719 is 9.

Lets's calculate LCM of 19,662

Given numbers has no common factors except 1. So, there LCM is their product i.e 12578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/12578

Therefore, the GCF of Fractions 2754/19,1719/662 is 9/12578

Least Common Multiple of 19,662 with GCF Formula

Least Common Multiple of 19,662 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 19,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,662) = 1

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

GCF(19,662) x common factors =1 x 1 = 1

LCM(19,662) = ( 19 × 662 ) / 1

LCM(19,662) = 12578 / 1

LCM(19,662) = 12578


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 2754/19, 1719/662

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 2754/19, 1719/662?

Answer: GCF of Numerators as per given numbers 2754/19, 1719/662 is

GCF of Numerators i.e. for 2754,1719 is 9

LCM of denominators i.e. for 19,662 is 12578.

Thus, GCF of Fractions is 9/12578.Finally, GCF of Fractions for 2754/19, 1719/662 is 9/12578.