Greatest Common Factor of 433/88, 602/24, 396/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/88, 602/24, 396/189

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 433/88,602/24,396/189

Given fractions are 433/88,602/24,396/189

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 433,602,396

Greatest Common Factor of Numerators i.e. GCF of 433,602,396 is 1 .

LCM of Denominators means LCM of 88,24,189 as per the given fractions.

LCM of 88,24,189 is 16632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,602,396

GCF of Fractions 433/88,602/24,396/189 is 1/16632

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 433,602,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,602,396 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 433,602,396 . The biggest common factor number is the GCF number.
So the greatest common factor 433,602,396 is 1.

Lets's calculate LCM of 88,24,189

2 88, 24, 189
2 44, 12, 189
2 22, 6, 189
3 11, 3, 189
11, 1, 63

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 63 = 16632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16632

Therefore, the GCF of Fractions 433/88,602/24,396/189 is 1/16632

Least Common Multiple of 88,24,189 with GCF Formula

Least Common Multiple of 88,24,189 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 88,24,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,24,189) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(88,24,189) x common factors =1 x 24 = 24

LCM(88,24,189) = ( 88 × 24 × 189 ) / 24

LCM(88,24,189) = 399168 / 24

LCM(88,24,189) = 16632


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 433/88, 602/24, 396/189

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 433/88, 602/24, 396/189?

Answer: GCF of Numerators as per given numbers 433/88, 602/24, 396/189 is

GCF of Numerators i.e. for 433,602,396 is 1

LCM of denominators i.e. for 88,24,189 is 16632.

Thus, GCF of Fractions is 1/16632.Finally, GCF of Fractions for 433/88, 602/24, 396/189 is 1/16632.