Greatest Common Factor of 3648/198, 7464/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3648/198, 7464/106

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 3648/198,7464/106

Given fractions are 3648/198,7464/106

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 3648,7464

Greatest Common Factor of Numerators i.e. GCF of 3648,7464 is 24 .

LCM of Denominators means LCM of 198,106 as per the given fractions.

LCM of 198,106 is 10494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3648,7464

GCF of Fractions 3648/198,7464/106 is 24/10494

2 3648, 7464
2 1824, 3732
2 912, 1866
3 456, 933
152, 311

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 3648,7464 By Matching Biggest Common Factor Method

Greatest Common Factor of 3648,7464 By Matching Biggest Common Factor Method

Factors of 3648

List of positive integer factors of 3648 that divides 3648 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648

Factors of 7464

List of positive integer factors of 7464 that divides 7464 without a remainder.

1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464

Greatest Common Factor

We found the factors 3648,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 3648,7464 is 24.

Lets's calculate LCM of 198,106

2 198, 106
99, 53

∴ So the LCM of the given numbers is 2 x 99 x 53 = 10494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/10494

Therefore, the GCF of Fractions 3648/198,7464/106 is 24/10494

Least Common Multiple of 198,106 with GCF Formula

Least Common Multiple of 198,106 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 198,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,106) = 2

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

GCF(198,106) x common factors =2 x 1 = 2

LCM(198,106) = ( 198 × 106 ) / 2

LCM(198,106) = 20988 / 2

LCM(198,106) = 10494


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 3648/198, 7464/106

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 3648/198, 7464/106?

Answer: GCF of Numerators as per given numbers 3648/198, 7464/106 is

GCF of Numerators i.e. for 3648,7464 is 24

LCM of denominators i.e. for 198,106 is 10494.

Thus, GCF of Fractions is 24/10494.Finally, GCF of Fractions for 3648/198, 7464/106 is 24/10494.