Greatest Common Factor of 7836/84, 3894/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7836/84, 3894/964

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 7836/84,3894/964

Given fractions are 7836/84,3894/964

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 7836,3894

Greatest Common Factor of Numerators i.e. GCF of 7836,3894 is 6 .

LCM of Denominators means LCM of 84,964 as per the given fractions.

LCM of 84,964 is 20244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7836,3894

GCF of Fractions 7836/84,3894/964 is 6/20244

2 7836, 3894
3 3918, 1947
1306, 649

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7836,3894 By Matching Biggest Common Factor Method

Greatest Common Factor of 7836,3894 By Matching Biggest Common Factor Method

Factors of 7836

List of positive integer factors of 7836 that divides 7836 without a remainder.

1,2,3,4,6,12,653,1306,1959,2612,3918,7836

Factors of 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894

Greatest Common Factor

We found the factors 7836,3894 . The biggest common factor number is the GCF number.
So the greatest common factor 7836,3894 is 6.

Lets's calculate LCM of 84,964

2 84, 964
2 42, 482
21, 241

∴ So the LCM of the given numbers is 2 x 2 x 21 x 241 = 20244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/20244

Therefore, the GCF of Fractions 7836/84,3894/964 is 6/20244

Least Common Multiple of 84,964 with GCF Formula

Least Common Multiple of 84,964 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 84,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,964) = 4

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

GCF(84,964) x common factors =4 x 1 = 4

LCM(84,964) = ( 84 × 964 ) / 4

LCM(84,964) = 80976 / 4

LCM(84,964) = 20244


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 7836/84, 3894/964

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 7836/84, 3894/964?

Answer: GCF of Numerators as per given numbers 7836/84, 3894/964 is

GCF of Numerators i.e. for 7836,3894 is 6

LCM of denominators i.e. for 84,964 is 20244.

Thus, GCF of Fractions is 6/20244.Finally, GCF of Fractions for 7836/84, 3894/964 is 6/20244.