Greatest Common Factor of 2994/618, 6496/8214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2994/618, 6496/8214

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 2994/618,6496/8214

Given fractions are 2994/618,6496/8214

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 2994,6496

Greatest Common Factor of Numerators i.e. GCF of 2994,6496 is 2 .

LCM of Denominators means LCM of 618,8214 as per the given fractions.

LCM of 618,8214 is 846042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2994,6496

GCF of Fractions 2994/618,6496/8214 is 2/846042

2 2994, 6496
1497, 3248

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

Greatest Common Factor of 2994,6496 By Matching Biggest Common Factor Method

Greatest Common Factor of 2994,6496 By Matching Biggest Common Factor Method

Factors of 2994

List of positive integer factors of 2994 that divides 2994 without a remainder.

1,2,3,6,499,998,1497,2994

Factors of 6496

List of positive integer factors of 6496 that divides 6496 without a remainder.

1,2,4,7,8,14,16,28,29,32,56,58,112,116,203,224,232,406,464,812,928,1624,3248,6496

Greatest Common Factor

We found the factors 2994,6496 . The biggest common factor number is the GCF number.
So the greatest common factor 2994,6496 is 2.

Lets's calculate LCM of 618,8214

2 618, 8214
3 309, 4107
103, 1369

∴ So the LCM of the given numbers is 2 x 3 x 103 x 1369 = 846042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/846042

Therefore, the GCF of Fractions 2994/618,6496/8214 is 2/846042

Least Common Multiple of 618,8214 with GCF Formula

Least Common Multiple of 618,8214 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 618,8214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,8214) = 6

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

GCF(618,8214) x common factors =6 x 1 = 6

LCM(618,8214) = ( 618 × 8214 ) / 6

LCM(618,8214) = 5076252 / 6

LCM(618,8214) = 846042


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 2994/618, 6496/8214

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 2994/618, 6496/8214?

Answer: GCF of Numerators as per given numbers 2994/618, 6496/8214 is

GCF of Numerators i.e. for 2994,6496 is 2

LCM of denominators i.e. for 618,8214 is 846042.

Thus, GCF of Fractions is 2/846042.Finally, GCF of Fractions for 2994/618, 6496/8214 is 2/846042.