Greatest Common Factor of 6942/984, 9782/4029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6942/984, 9782/4029

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 6942/984,9782/4029

Given fractions are 6942/984,9782/4029

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 6942,9782

Greatest Common Factor of Numerators i.e. GCF of 6942,9782 is 2 .

LCM of Denominators means LCM of 984,4029 as per the given fractions.

LCM of 984,4029 is 1321512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6942,9782

GCF of Fractions 6942/984,9782/4029 is 2/1321512

2 6942, 9782
3471, 4891

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

Greatest Common Factor of 6942,9782 By Matching Biggest Common Factor Method

Greatest Common Factor of 6942,9782 By Matching Biggest Common Factor Method

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942

Factors of 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1,2,67,73,134,146,4891,9782

Greatest Common Factor

We found the factors 6942,9782 . The biggest common factor number is the GCF number.
So the greatest common factor 6942,9782 is 2.

Lets's calculate LCM of 984,4029

3 984, 4029
328, 1343

∴ So the LCM of the given numbers is 3 x 328 x 1343 = 1321512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1321512

Therefore, the GCF of Fractions 6942/984,9782/4029 is 2/1321512

Least Common Multiple of 984,4029 with GCF Formula

Least Common Multiple of 984,4029 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 984,4029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,4029) = 3

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

GCF(984,4029) x common factors =3 x 1 = 3

LCM(984,4029) = ( 984 × 4029 ) / 3

LCM(984,4029) = 3964536 / 3

LCM(984,4029) = 1321512


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 6942/984, 9782/4029

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 6942/984, 9782/4029?

Answer: GCF of Numerators as per given numbers 6942/984, 9782/4029 is

GCF of Numerators i.e. for 6942,9782 is 2

LCM of denominators i.e. for 984,4029 is 1321512.

Thus, GCF of Fractions is 2/1321512.Finally, GCF of Fractions for 6942/984, 9782/4029 is 2/1321512.