Greatest Common Factor of 192/98, 1682/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 192/98, 1682/729

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 192/98,1682/729

Given fractions are 192/98,1682/729

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 192,1682

Greatest Common Factor of Numerators i.e. GCF of 192,1682 is 2 .

LCM of Denominators means LCM of 98,729 as per the given fractions.

LCM of 98,729 is 71442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 192,1682

GCF of Fractions 192/98,1682/729 is 2/71442

2 192, 1682
96, 841

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 192,1682 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,1682 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 1682

List of positive integer factors of 1682 that divides 1682 without a remainder.

1,2,29,58,841,1682

Greatest Common Factor

We found the factors 192,1682 . The biggest common factor number is the GCF number.
So the greatest common factor 192,1682 is 2.

Lets's calculate LCM of 98,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 71442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71442

Therefore, the GCF of Fractions 192/98,1682/729 is 2/71442

Least Common Multiple of 98,729 with GCF Formula

Least Common Multiple of 98,729 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 98,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,729) = 1

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

GCF(98,729) x common factors =1 x 1 = 1

LCM(98,729) = ( 98 × 729 ) / 1

LCM(98,729) = 71442 / 1

LCM(98,729) = 71442


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 192/98, 1682/729

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 192/98, 1682/729?

Answer: GCF of Numerators as per given numbers 192/98, 1682/729 is

GCF of Numerators i.e. for 192,1682 is 2

LCM of denominators i.e. for 98,729 is 71442.

Thus, GCF of Fractions is 2/71442.Finally, GCF of Fractions for 192/98, 1682/729 is 2/71442.