Greatest Common Factor of 2898/422, 9768/3608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2898/422, 9768/3608

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 2898/422,9768/3608

Given fractions are 2898/422,9768/3608

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 2898,9768

Greatest Common Factor of Numerators i.e. GCF of 2898,9768 is 6 .

LCM of Denominators means LCM of 422,3608 as per the given fractions.

LCM of 422,3608 is 761288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2898,9768

GCF of Fractions 2898/422,9768/3608 is 6/761288

2 2898, 9768
3 1449, 4884
483, 1628

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

Greatest Common Factor of 2898,9768 By Matching Biggest Common Factor Method

Greatest Common Factor of 2898,9768 By Matching Biggest Common Factor Method

Factors of 2898

List of positive integer factors of 2898 that divides 2898 without a remainder.

1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Greatest Common Factor

We found the factors 2898,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 2898,9768 is 6.

Lets's calculate LCM of 422,3608

2 422, 3608
211, 1804

∴ So the LCM of the given numbers is 2 x 211 x 1804 = 761288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/761288

Therefore, the GCF of Fractions 2898/422,9768/3608 is 6/761288

Least Common Multiple of 422,3608 with GCF Formula

Least Common Multiple of 422,3608 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 422,3608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,3608) = 2

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

GCF(422,3608) x common factors =2 x 1 = 2

LCM(422,3608) = ( 422 × 3608 ) / 2

LCM(422,3608) = 1522576 / 2

LCM(422,3608) = 761288


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 2898/422, 9768/3608

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 2898/422, 9768/3608?

Answer: GCF of Numerators as per given numbers 2898/422, 9768/3608 is

GCF of Numerators i.e. for 2898,9768 is 6

LCM of denominators i.e. for 422,3608 is 761288.

Thus, GCF of Fractions is 6/761288.Finally, GCF of Fractions for 2898/422, 9768/3608 is 6/761288.