Greatest Common Factor of 9440/381, 3215/3428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9440/381, 3215/3428

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 9440/381,3215/3428

Given fractions are 9440/381,3215/3428

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 9440,3215

Greatest Common Factor of Numerators i.e. GCF of 9440,3215 is 5 .

LCM of Denominators means LCM of 381,3428 as per the given fractions.

LCM of 381,3428 is 1306068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9440,3215

GCF of Fractions 9440/381,3215/3428 is 5/1306068

5 9440, 3215
1888, 643

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

Greatest Common Factor of 9440,3215 By Matching Biggest Common Factor Method

Greatest Common Factor of 9440,3215 By Matching Biggest Common Factor Method

Factors of 9440

List of positive integer factors of 9440 that divides 9440 without a remainder.

1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440

Factors of 3215

List of positive integer factors of 3215 that divides 3215 without a remainder.

1,5,643,3215

Greatest Common Factor

We found the factors 9440,3215 . The biggest common factor number is the GCF number.
So the greatest common factor 9440,3215 is 5.

Lets's calculate LCM of 381,3428

Given numbers has no common factors except 1. So, there LCM is their product i.e 1306068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1306068

Therefore, the GCF of Fractions 9440/381,3215/3428 is 5/1306068

Least Common Multiple of 381,3428 with GCF Formula

Least Common Multiple of 381,3428 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 381,3428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,3428) = 1

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

GCF(381,3428) x common factors =1 x 1 = 1

LCM(381,3428) = ( 381 × 3428 ) / 1

LCM(381,3428) = 1306068 / 1

LCM(381,3428) = 1306068


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 9440/381, 3215/3428

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 9440/381, 3215/3428?

Answer: GCF of Numerators as per given numbers 9440/381, 3215/3428 is

GCF of Numerators i.e. for 9440,3215 is 5

LCM of denominators i.e. for 381,3428 is 1306068.

Thus, GCF of Fractions is 5/1306068.Finally, GCF of Fractions for 9440/381, 3215/3428 is 5/1306068.