Greatest Common Factor of 433/39, 760/29, 676/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/39, 760/29, 676/736

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 433/39,760/29,676/736

Given fractions are 433/39,760/29,676/736

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 433,760,676

Greatest Common Factor of Numerators i.e. GCF of 433,760,676 is 1 .

LCM of Denominators means LCM of 39,29,736 as per the given fractions.

LCM of 39,29,736 is 832416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,760,676

GCF of Fractions 433/39,760/29,676/736 is 1/832416

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

Greatest Common Factor of 433,760,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,760,676 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 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 433,760,676 . The biggest common factor number is the GCF number.
So the greatest common factor 433,760,676 is 1.

Lets's calculate LCM of 39,29,736

Given numbers has no common factors except 1. So, there LCM is their product i.e 832416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832416

Therefore, the GCF of Fractions 433/39,760/29,676/736 is 1/832416

Least Common Multiple of 39,29,736 with GCF Formula

Least Common Multiple of 39,29,736 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 39,29,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,29,736) = 1

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

GCF(39,29,736) x common factors =1 x 1 = 1

LCM(39,29,736) = ( 39 × 29 × 736 ) / 1

LCM(39,29,736) = 832416 / 1

LCM(39,29,736) = 832416


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 433/39, 760/29, 676/736

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 433/39, 760/29, 676/736?

Answer: GCF of Numerators as per given numbers 433/39, 760/29, 676/736 is

GCF of Numerators i.e. for 433,760,676 is 1

LCM of denominators i.e. for 39,29,736 is 832416.

Thus, GCF of Fractions is 1/832416.Finally, GCF of Fractions for 433/39, 760/29, 676/736 is 1/832416.