Greatest Common Factor of 3771/675, 1799/9777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3771/675, 1799/9777

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 3771/675,1799/9777

Given fractions are 3771/675,1799/9777

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 3771,1799

Greatest Common Factor of Numerators i.e. GCF of 3771,1799 is 1 .

LCM of Denominators means LCM of 675,9777 as per the given fractions.

LCM of 675,9777 is 2199825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3771,1799

GCF of Fractions 3771/675,1799/9777 is 1/2199825

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3771,1799 By Matching Biggest Common Factor Method

Greatest Common Factor of 3771,1799 By Matching Biggest Common Factor Method

Factors of 3771

List of positive integer factors of 3771 that divides 3771 without a remainder.

1,3,9,419,1257,3771

Factors of 1799

List of positive integer factors of 1799 that divides 1799 without a remainder.

1,7,257,1799

Greatest Common Factor

We found the factors 3771,1799 . The biggest common factor number is the GCF number.
So the greatest common factor 3771,1799 is 1.

Lets's calculate LCM of 675,9777

3 675, 9777
225, 3259

∴ So the LCM of the given numbers is 3 x 225 x 3259 = 2199825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2199825

Therefore, the GCF of Fractions 3771/675,1799/9777 is 1/2199825

Least Common Multiple of 675,9777 with GCF Formula

Least Common Multiple of 675,9777 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 675,9777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,9777) = 3

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

GCF(675,9777) x common factors =3 x 1 = 3

LCM(675,9777) = ( 675 × 9777 ) / 3

LCM(675,9777) = 6599475 / 3

LCM(675,9777) = 2199825


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 3771/675, 1799/9777

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 3771/675, 1799/9777?

Answer: GCF of Numerators as per given numbers 3771/675, 1799/9777 is

GCF of Numerators i.e. for 3771,1799 is 1

LCM of denominators i.e. for 675,9777 is 2199825.

Thus, GCF of Fractions is 1/2199825.Finally, GCF of Fractions for 3771/675, 1799/9777 is 1/2199825.