Greatest Common Factor of 32/465, 40/541, 629/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/465, 40/541, 629/707

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 32/465,40/541,629/707

Given fractions are 32/465,40/541,629/707

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 32,40,629

Greatest Common Factor of Numerators i.e. GCF of 32,40,629 is 1 .

LCM of Denominators means LCM of 465,541,707 as per the given fractions.

LCM of 465,541,707 is 177856455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,40,629

GCF of Fractions 32/465,40/541,629/707 is 1/177856455

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

Greatest Common Factor of 32,40,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,40,629 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 32,40,629 . The biggest common factor number is the GCF number.
So the greatest common factor 32,40,629 is 1.

Lets's calculate LCM of 465,541,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 177856455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177856455

Therefore, the GCF of Fractions 32/465,40/541,629/707 is 1/177856455

Least Common Multiple of 465,541,707 with GCF Formula

Least Common Multiple of 465,541,707 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 465,541,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,541,707) = 1

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

GCF(465,541,707) x common factors =1 x 1 = 1

LCM(465,541,707) = ( 465 × 541 × 707 ) / 1

LCM(465,541,707) = 177856455 / 1

LCM(465,541,707) = 177856455


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 32/465, 40/541, 629/707

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 32/465, 40/541, 629/707?

Answer: GCF of Numerators as per given numbers 32/465, 40/541, 629/707 is

GCF of Numerators i.e. for 32,40,629 is 1

LCM of denominators i.e. for 465,541,707 is 177856455.

Thus, GCF of Fractions is 1/177856455.Finally, GCF of Fractions for 32/465, 40/541, 629/707 is 1/177856455.