Greatest Common Factor of 408/11, 974/5920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/11, 974/5920

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 408/11,974/5920

Given fractions are 408/11,974/5920

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 408,974

Greatest Common Factor of Numerators i.e. GCF of 408,974 is 2 .

LCM of Denominators means LCM of 11,5920 as per the given fractions.

LCM of 11,5920 is 65120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,974

GCF of Fractions 408/11,974/5920 is 2/65120

2 408, 974
204, 487

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

Greatest Common Factor of 408,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,974 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 408,974 . The biggest common factor number is the GCF number.
So the greatest common factor 408,974 is 2.

Lets's calculate LCM of 11,5920

Given numbers has no common factors except 1. So, there LCM is their product i.e 65120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65120

Therefore, the GCF of Fractions 408/11,974/5920 is 2/65120

Least Common Multiple of 11,5920 with GCF Formula

Least Common Multiple of 11,5920 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 11,5920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,5920) = 1

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

GCF(11,5920) x common factors =1 x 1 = 1

LCM(11,5920) = ( 11 × 5920 ) / 1

LCM(11,5920) = 65120 / 1

LCM(11,5920) = 65120


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 408/11, 974/5920

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 408/11, 974/5920?

Answer: GCF of Numerators as per given numbers 408/11, 974/5920 is

GCF of Numerators i.e. for 408,974 is 2

LCM of denominators i.e. for 11,5920 is 65120.

Thus, GCF of Fractions is 2/65120.Finally, GCF of Fractions for 408/11, 974/5920 is 2/65120.