Greatest Common Factor of 3780/11, 3195/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3780/11, 3195/257

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 3780/11,3195/257

Given fractions are 3780/11,3195/257

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 3780,3195

Greatest Common Factor of Numerators i.e. GCF of 3780,3195 is 45 .

LCM of Denominators means LCM of 11,257 as per the given fractions.

LCM of 11,257 is 2827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3780,3195

GCF of Fractions 3780/11,3195/257 is 45/2827

3 3780, 3195
3 1260, 1065
5 420, 355
84, 71

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 3780,3195 By Matching Biggest Common Factor Method

Greatest Common Factor of 3780,3195 By Matching Biggest Common Factor Method

Factors of 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780

Factors of 3195

List of positive integer factors of 3195 that divides 3195 without a remainder.

1,3,5,9,15,45,71,213,355,639,1065,3195

Greatest Common Factor

We found the factors 3780,3195 . The biggest common factor number is the GCF number.
So the greatest common factor 3780,3195 is 45.

Lets's calculate LCM of 11,257

Given numbers has no common factors except 1. So, there LCM is their product i.e 2827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/2827

Therefore, the GCF of Fractions 3780/11,3195/257 is 45/2827

Least Common Multiple of 11,257 with GCF Formula

Least Common Multiple of 11,257 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 11,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,257) = 1

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

GCF(11,257) x common factors =1 x 1 = 1

LCM(11,257) = ( 11 × 257 ) / 1

LCM(11,257) = 2827 / 1

LCM(11,257) = 2827


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 3780/11, 3195/257

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 3780/11, 3195/257?

Answer: GCF of Numerators as per given numbers 3780/11, 3195/257 is

GCF of Numerators i.e. for 3780,3195 is 45

LCM of denominators i.e. for 11,257 is 2827.

Thus, GCF of Fractions is 45/2827.Finally, GCF of Fractions for 3780/11, 3195/257 is 45/2827.