Greatest Common Factor of 29/13, 16/45, 746/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/13, 16/45, 746/963

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 29/13,16/45,746/963

Given fractions are 29/13,16/45,746/963

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 29,16,746

Greatest Common Factor of Numerators i.e. GCF of 29,16,746 is 1 .

LCM of Denominators means LCM of 13,45,963 as per the given fractions.

LCM of 13,45,963 is 62595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,16,746

GCF of Fractions 29/13,16/45,746/963 is 1/62595

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

Greatest Common Factor of 29,16,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,16,746 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 29,16,746 . The biggest common factor number is the GCF number.
So the greatest common factor 29,16,746 is 1.

Lets's calculate LCM of 13,45,963

3 13, 45, 963
3 13, 15, 321
13, 5, 107

∴ So the LCM of the given numbers is 3 x 3 x 13 x 5 x 107 = 62595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62595

Therefore, the GCF of Fractions 29/13,16/45,746/963 is 1/62595

Least Common Multiple of 13,45,963 with GCF Formula

Least Common Multiple of 13,45,963 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 13,45,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,45,963) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(13,45,963) x common factors =1 x 9 = 9

LCM(13,45,963) = ( 13 × 45 × 963 ) / 9

LCM(13,45,963) = 563355 / 9

LCM(13,45,963) = 62595


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 29/13, 16/45, 746/963

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 29/13, 16/45, 746/963?

Answer: GCF of Numerators as per given numbers 29/13, 16/45, 746/963 is

GCF of Numerators i.e. for 29,16,746 is 1

LCM of denominators i.e. for 13,45,963 is 62595.

Thus, GCF of Fractions is 1/62595.Finally, GCF of Fractions for 29/13, 16/45, 746/963 is 1/62595.