Greatest Common Factor of 6825/445, 3975/7404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6825/445, 3975/7404

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 6825/445,3975/7404

Given fractions are 6825/445,3975/7404

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 6825,3975

Greatest Common Factor of Numerators i.e. GCF of 6825,3975 is 75 .

LCM of Denominators means LCM of 445,7404 as per the given fractions.

LCM of 445,7404 is 3294780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6825,3975

GCF of Fractions 6825/445,3975/7404 is 75/3294780

3 6825, 3975
5 2275, 1325
5 455, 265
91, 53

∴ So the GCF of the given numbers is 3 x 5 x 5 = 75

Greatest Common Factor of 6825,3975 By Matching Biggest Common Factor Method

Greatest Common Factor of 6825,3975 By Matching Biggest Common Factor Method

Factors of 6825

List of positive integer factors of 6825 that divides 6825 without a remainder.

1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1,3,5,15,25,53,75,159,265,795,1325,3975

Greatest Common Factor

We found the factors 6825,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 6825,3975 is 75.

Lets's calculate LCM of 445,7404

Given numbers has no common factors except 1. So, there LCM is their product i.e 3294780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/3294780

Therefore, the GCF of Fractions 6825/445,3975/7404 is 75/3294780

Least Common Multiple of 445,7404 with GCF Formula

Least Common Multiple of 445,7404 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 445,7404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,7404) = 1

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

GCF(445,7404) x common factors =1 x 1 = 1

LCM(445,7404) = ( 445 × 7404 ) / 1

LCM(445,7404) = 3294780 / 1

LCM(445,7404) = 3294780


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 6825/445, 3975/7404

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 6825/445, 3975/7404?

Answer: GCF of Numerators as per given numbers 6825/445, 3975/7404 is

GCF of Numerators i.e. for 6825,3975 is 75

LCM of denominators i.e. for 445,7404 is 3294780.

Thus, GCF of Fractions is 75/3294780.Finally, GCF of Fractions for 6825/445, 3975/7404 is 75/3294780.