Greatest Common Factor of 626/33, 160/59, 478/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/33, 160/59, 478/461

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 626/33,160/59,478/461

Given fractions are 626/33,160/59,478/461

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 626,160,478

Greatest Common Factor of Numerators i.e. GCF of 626,160,478 is 2 .

LCM of Denominators means LCM of 33,59,461 as per the given fractions.

LCM of 33,59,461 is 897567 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,160,478

GCF of Fractions 626/33,160/59,478/461 is 2/897567

2 626, 160, 478
313, 80, 239

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 626,160,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,160,478 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 626,160,478 . The biggest common factor number is the GCF number.
So the greatest common factor 626,160,478 is 2.

Lets's calculate LCM of 33,59,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 897567

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/897567

Therefore, the GCF of Fractions 626/33,160/59,478/461 is 2/897567

Least Common Multiple of 33,59,461 with GCF Formula

Least Common Multiple of 33,59,461 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 33,59,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,59,461) = 1

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

GCF(33,59,461) x common factors =1 x 1 = 1

LCM(33,59,461) = ( 33 × 59 × 461 ) / 1

LCM(33,59,461) = 897567 / 1

LCM(33,59,461) = 897567


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 626/33, 160/59, 478/461

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 626/33, 160/59, 478/461?

Answer: GCF of Numerators as per given numbers 626/33, 160/59, 478/461 is

GCF of Numerators i.e. for 626,160,478 is 2

LCM of denominators i.e. for 33,59,461 is 897567.

Thus, GCF of Fractions is 2/897567.Finally, GCF of Fractions for 626/33, 160/59, 478/461 is 2/897567.