Greatest Common Factor of 433/749, 168/231, 106/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/749, 168/231, 106/741

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 433/749,168/231,106/741

Given fractions are 433/749,168/231,106/741

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 433,168,106

Greatest Common Factor of Numerators i.e. GCF of 433,168,106 is 1 .

LCM of Denominators means LCM of 749,231,741 as per the given fractions.

LCM of 749,231,741 is 6105099 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,168,106

GCF of Fractions 433/749,168/231,106/741 is 1/6105099

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

Greatest Common Factor of 433,168,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,168,106 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 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 433,168,106 . The biggest common factor number is the GCF number.
So the greatest common factor 433,168,106 is 1.

Lets's calculate LCM of 749,231,741

3 749, 231, 741
7 749, 77, 247
107, 11, 247

∴ So the LCM of the given numbers is 3 x 7 x 107 x 11 x 247 = 6105099

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6105099

Therefore, the GCF of Fractions 433/749,168/231,106/741 is 1/6105099

Least Common Multiple of 749,231,741 with GCF Formula

Least Common Multiple of 749,231,741 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 749,231,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,231,741) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(749,231,741) x common factors =1 x 21 = 21

LCM(749,231,741) = ( 749 × 231 × 741 ) / 21

LCM(749,231,741) = 128207079 / 21

LCM(749,231,741) = 6105099


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 433/749, 168/231, 106/741

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 433/749, 168/231, 106/741?

Answer: GCF of Numerators as per given numbers 433/749, 168/231, 106/741 is

GCF of Numerators i.e. for 433,168,106 is 1

LCM of denominators i.e. for 749,231,741 is 6105099.

Thus, GCF of Fractions is 1/6105099.Finally, GCF of Fractions for 433/749, 168/231, 106/741 is 1/6105099.