Greatest Common Factor of 1575/461, 3333/6887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1575/461, 3333/6887

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 1575/461,3333/6887

Given fractions are 1575/461,3333/6887

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 1575,3333

Greatest Common Factor of Numerators i.e. GCF of 1575,3333 is 3 .

LCM of Denominators means LCM of 461,6887 as per the given fractions.

LCM of 461,6887 is 3174907 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1575,3333

GCF of Fractions 1575/461,3333/6887 is 3/3174907

3 1575, 3333
525, 1111

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1575,3333 By Matching Biggest Common Factor Method

Greatest Common Factor of 1575,3333 By Matching Biggest Common Factor Method

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575

Factors of 3333

List of positive integer factors of 3333 that divides 3333 without a remainder.

1,3,11,33,101,303,1111,3333

Greatest Common Factor

We found the factors 1575,3333 . The biggest common factor number is the GCF number.
So the greatest common factor 1575,3333 is 3.

Lets's calculate LCM of 461,6887

Given numbers has no common factors except 1. So, there LCM is their product i.e 3174907

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3174907

Therefore, the GCF of Fractions 1575/461,3333/6887 is 3/3174907

Least Common Multiple of 461,6887 with GCF Formula

Least Common Multiple of 461,6887 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 461,6887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,6887) = 1

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

GCF(461,6887) x common factors =1 x 1 = 1

LCM(461,6887) = ( 461 × 6887 ) / 1

LCM(461,6887) = 3174907 / 1

LCM(461,6887) = 3174907


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 1575/461, 3333/6887

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 1575/461, 3333/6887?

Answer: GCF of Numerators as per given numbers 1575/461, 3333/6887 is

GCF of Numerators i.e. for 1575,3333 is 3

LCM of denominators i.e. for 461,6887 is 3174907.

Thus, GCF of Fractions is 3/3174907.Finally, GCF of Fractions for 1575/461, 3333/6887 is 3/3174907.