Greatest Common Factor of 9105/619, 3845/1381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9105/619, 3845/1381

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 9105/619,3845/1381

Given fractions are 9105/619,3845/1381

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 9105,3845

Greatest Common Factor of Numerators i.e. GCF of 9105,3845 is 5 .

LCM of Denominators means LCM of 619,1381 as per the given fractions.

LCM of 619,1381 is 854839 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9105,3845

GCF of Fractions 9105/619,3845/1381 is 5/854839

5 9105, 3845
1821, 769

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

Greatest Common Factor of 9105,3845 By Matching Biggest Common Factor Method

Greatest Common Factor of 9105,3845 By Matching Biggest Common Factor Method

Factors of 9105

List of positive integer factors of 9105 that divides 9105 without a remainder.

1,3,5,15,607,1821,3035,9105

Factors of 3845

List of positive integer factors of 3845 that divides 3845 without a remainder.

1,5,769,3845

Greatest Common Factor

We found the factors 9105,3845 . The biggest common factor number is the GCF number.
So the greatest common factor 9105,3845 is 5.

Lets's calculate LCM of 619,1381

Given numbers has no common factors except 1. So, there LCM is their product i.e 854839

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/854839

Therefore, the GCF of Fractions 9105/619,3845/1381 is 5/854839

Least Common Multiple of 619,1381 with GCF Formula

Least Common Multiple of 619,1381 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 619,1381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,1381) = 1

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

GCF(619,1381) x common factors =1 x 1 = 1

LCM(619,1381) = ( 619 × 1381 ) / 1

LCM(619,1381) = 854839 / 1

LCM(619,1381) = 854839


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 9105/619, 3845/1381

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 9105/619, 3845/1381?

Answer: GCF of Numerators as per given numbers 9105/619, 3845/1381 is

GCF of Numerators i.e. for 9105,3845 is 5

LCM of denominators i.e. for 619,1381 is 854839.

Thus, GCF of Fractions is 5/854839.Finally, GCF of Fractions for 9105/619, 3845/1381 is 5/854839.