Greatest Common Factor of 478/21, 755/90, 605/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 478/21, 755/90, 605/399

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 478/21,755/90,605/399

Given fractions are 478/21,755/90,605/399

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 478,755,605

Greatest Common Factor of Numerators i.e. GCF of 478,755,605 is 1 .

LCM of Denominators means LCM of 21,90,399 as per the given fractions.

LCM of 21,90,399 is 11970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 478,755,605

GCF of Fractions 478/21,755/90,605/399 is 1/11970

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

Greatest Common Factor of 478,755,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,755,605 By Matching Biggest Common Factor Method

Factors of 478

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

1,2,239,478

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 478,755,605 . The biggest common factor number is the GCF number.
So the greatest common factor 478,755,605 is 1.

Lets's calculate LCM of 21,90,399

3 21, 90, 399
7 7, 30, 133
1, 30, 19

∴ So the LCM of the given numbers is 3 x 7 x 1 x 30 x 19 = 11970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11970

Therefore, the GCF of Fractions 478/21,755/90,605/399 is 1/11970

Least Common Multiple of 21,90,399 with GCF Formula

Least Common Multiple of 21,90,399 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 21,90,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,90,399) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(21,90,399) x common factors =3 x 21 = 63

LCM(21,90,399) = ( 21 × 90 × 399 ) / 63

LCM(21,90,399) = 754110 / 63

LCM(21,90,399) = 11970


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 478/21, 755/90, 605/399

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 478/21, 755/90, 605/399?

Answer: GCF of Numerators as per given numbers 478/21, 755/90, 605/399 is

GCF of Numerators i.e. for 478,755,605 is 1

LCM of denominators i.e. for 21,90,399 is 11970.

Thus, GCF of Fractions is 1/11970.Finally, GCF of Fractions for 478/21, 755/90, 605/399 is 1/11970.