Greatest Common Factor of 905/54, 670/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 905/54, 670/408

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 905/54,670/408

Given fractions are 905/54,670/408

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 905,670

Greatest Common Factor of Numerators i.e. GCF of 905,670 is 5 .

LCM of Denominators means LCM of 54,408 as per the given fractions.

LCM of 54,408 is 3672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 905,670

GCF of Fractions 905/54,670/408 is 5/3672

5 905, 670
181, 134

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 905,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,670 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 905,670 . The biggest common factor number is the GCF number.
So the greatest common factor 905,670 is 5.

Lets's calculate LCM of 54,408

2 54, 408
3 27, 204
9, 68

∴ So the LCM of the given numbers is 2 x 3 x 9 x 68 = 3672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3672

Therefore, the GCF of Fractions 905/54,670/408 is 5/3672

Least Common Multiple of 54,408 with GCF Formula

Least Common Multiple of 54,408 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 54,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,408) = 6

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

GCF(54,408) x common factors =6 x 1 = 6

LCM(54,408) = ( 54 × 408 ) / 6

LCM(54,408) = 22032 / 6

LCM(54,408) = 3672


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 905/54, 670/408

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 905/54, 670/408?

Answer: GCF of Numerators as per given numbers 905/54, 670/408 is

GCF of Numerators i.e. for 905,670 is 5

LCM of denominators i.e. for 54,408 is 3672.

Thus, GCF of Fractions is 5/3672.Finally, GCF of Fractions for 905/54, 670/408 is 5/3672.