Greatest Common Factor of 7/72, 17/29, 33/429, 943/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/72, 17/29, 33/429, 943/466

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 7/72,17/29,33/429,943/466

Given fractions are 7/72,17/29,33/429,943/466

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 7,17,33,943

Greatest Common Factor of Numerators i.e. GCF of 7,17,33,943 is 1 .

LCM of Denominators means LCM of 72,29,429,466 as per the given fractions.

LCM of 72,29,429,466 is 69570072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,17,33,943

GCF of Fractions 7/72,17/29,33/429,943/466 is 1/69570072

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

Greatest Common Factor of 7,17,33,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,17,33,943 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 7,17,33,943 . The biggest common factor number is the GCF number.
So the greatest common factor 7,17,33,943 is 1.

Lets's calculate LCM of 72,29,429,466

2 72, 29, 429, 466
3 36, 29, 429, 233
12, 29, 143, 233

∴ So the LCM of the given numbers is 2 x 3 x 12 x 29 x 143 x 233 = 69570072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69570072

Therefore, the GCF of Fractions 7/72,17/29,33/429,943/466 is 1/69570072

Least Common Multiple of 72,29,429,466 with GCF Formula

Least Common Multiple of 72,29,429,466 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 72,29,429,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,29,429,466) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,29,429,466) x common factors =1 x 6 = 6

LCM(72,29,429,466) = ( 72 × 29 × 429 × 466 ) / 6

LCM(72,29,429,466) = 417420432 / 6

LCM(72,29,429,466) = 69570072


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 7/72, 17/29, 33/429, 943/466

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 7/72, 17/29, 33/429, 943/466?

Answer: GCF of Numerators as per given numbers 7/72, 17/29, 33/429, 943/466 is

GCF of Numerators i.e. for 7,17,33,943 is 1

LCM of denominators i.e. for 72,29,429,466 is 69570072.

Thus, GCF of Fractions is 1/69570072.Finally, GCF of Fractions for 7/72, 17/29, 33/429, 943/466 is 1/69570072.