Greatest Common Factor of 4488/23, 4202/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4488/23, 4202/149

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 4488/23,4202/149

Given fractions are 4488/23,4202/149

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 4488,4202

Greatest Common Factor of Numerators i.e. GCF of 4488,4202 is 22 .

LCM of Denominators means LCM of 23,149 as per the given fractions.

LCM of 23,149 is 3427 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4488,4202

GCF of Fractions 4488/23,4202/149 is 22/3427

2 4488, 4202
11 2244, 2101
204, 191

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 4488,4202 By Matching Biggest Common Factor Method

Greatest Common Factor of 4488,4202 By Matching Biggest Common Factor Method

Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1,2,11,22,191,382,2101,4202

Greatest Common Factor

We found the factors 4488,4202 . The biggest common factor number is the GCF number.
So the greatest common factor 4488,4202 is 22.

Lets's calculate LCM of 23,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 3427

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3427

Therefore, the GCF of Fractions 4488/23,4202/149 is 22/3427

Least Common Multiple of 23,149 with GCF Formula

Least Common Multiple of 23,149 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 23,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,149) = 1

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

GCF(23,149) x common factors =1 x 1 = 1

LCM(23,149) = ( 23 × 149 ) / 1

LCM(23,149) = 3427 / 1

LCM(23,149) = 3427


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 4488/23, 4202/149

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 4488/23, 4202/149?

Answer: GCF of Numerators as per given numbers 4488/23, 4202/149 is

GCF of Numerators i.e. for 4488,4202 is 22

LCM of denominators i.e. for 23,149 is 3427.

Thus, GCF of Fractions is 22/3427.Finally, GCF of Fractions for 4488/23, 4202/149 is 22/3427.