Greatest Common Factor of 3784/360, 3927/3593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3784/360, 3927/3593

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 3784/360,3927/3593

Given fractions are 3784/360,3927/3593

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 3784,3927

Greatest Common Factor of Numerators i.e. GCF of 3784,3927 is 11 .

LCM of Denominators means LCM of 360,3593 as per the given fractions.

LCM of 360,3593 is 1293480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3784,3927

GCF of Fractions 3784/360,3927/3593 is 11/1293480

11 3784, 3927
344, 357

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3784,3927 By Matching Biggest Common Factor Method

Greatest Common Factor of 3784,3927 By Matching Biggest Common Factor Method

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784

Factors of 3927

List of positive integer factors of 3927 that divides 3927 without a remainder.

1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927

Greatest Common Factor

We found the factors 3784,3927 . The biggest common factor number is the GCF number.
So the greatest common factor 3784,3927 is 11.

Lets's calculate LCM of 360,3593

Given numbers has no common factors except 1. So, there LCM is their product i.e 1293480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1293480

Therefore, the GCF of Fractions 3784/360,3927/3593 is 11/1293480

Least Common Multiple of 360,3593 with GCF Formula

Least Common Multiple of 360,3593 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 360,3593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,3593) = 1

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

GCF(360,3593) x common factors =1 x 1 = 1

LCM(360,3593) = ( 360 × 3593 ) / 1

LCM(360,3593) = 1293480 / 1

LCM(360,3593) = 1293480


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 3784/360, 3927/3593

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 3784/360, 3927/3593?

Answer: GCF of Numerators as per given numbers 3784/360, 3927/3593 is

GCF of Numerators i.e. for 3784,3927 is 11

LCM of denominators i.e. for 360,3593 is 1293480.

Thus, GCF of Fractions is 11/1293480.Finally, GCF of Fractions for 3784/360, 3927/3593 is 11/1293480.