Greatest Common Factor of 981/753, 1814/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 981/753, 1814/834

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 981/753,1814/834

Given fractions are 981/753,1814/834

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 981,1814

Greatest Common Factor of Numerators i.e. GCF of 981,1814 is 1 .

LCM of Denominators means LCM of 753,834 as per the given fractions.

LCM of 753,834 is 209334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 981,1814

GCF of Fractions 981/753,1814/834 is 1/209334

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

Greatest Common Factor of 981,1814 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,1814 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1,2,907,1814

Greatest Common Factor

We found the factors 981,1814 . The biggest common factor number is the GCF number.
So the greatest common factor 981,1814 is 1.

Lets's calculate LCM of 753,834

3 753, 834
251, 278

∴ So the LCM of the given numbers is 3 x 251 x 278 = 209334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209334

Therefore, the GCF of Fractions 981/753,1814/834 is 1/209334

Least Common Multiple of 753,834 with GCF Formula

Least Common Multiple of 753,834 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 753,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,834) = 3

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

GCF(753,834) x common factors =3 x 1 = 3

LCM(753,834) = ( 753 × 834 ) / 3

LCM(753,834) = 628002 / 3

LCM(753,834) = 209334


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 981/753, 1814/834

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 981/753, 1814/834?

Answer: GCF of Numerators as per given numbers 981/753, 1814/834 is

GCF of Numerators i.e. for 981,1814 is 1

LCM of denominators i.e. for 753,834 is 209334.

Thus, GCF of Fractions is 1/209334.Finally, GCF of Fractions for 981/753, 1814/834 is 1/209334.