Greatest Common Factor of 423/63, 207/9825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/63, 207/9825

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 423/63,207/9825

Given fractions are 423/63,207/9825

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 423,207

Greatest Common Factor of Numerators i.e. GCF of 423,207 is 9 .

LCM of Denominators means LCM of 63,9825 as per the given fractions.

LCM of 63,9825 is 206325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,207

GCF of Fractions 423/63,207/9825 is 9/206325

3 423, 207
3 141, 69
47, 23

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 423,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,207 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 423,207 . The biggest common factor number is the GCF number.
So the greatest common factor 423,207 is 9.

Lets's calculate LCM of 63,9825

3 63, 9825
21, 3275

∴ So the LCM of the given numbers is 3 x 21 x 3275 = 206325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/206325

Therefore, the GCF of Fractions 423/63,207/9825 is 9/206325

Least Common Multiple of 63,9825 with GCF Formula

Least Common Multiple of 63,9825 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 63,9825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,9825) = 3

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

GCF(63,9825) x common factors =3 x 1 = 3

LCM(63,9825) = ( 63 × 9825 ) / 3

LCM(63,9825) = 618975 / 3

LCM(63,9825) = 206325


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 423/63, 207/9825

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 423/63, 207/9825?

Answer: GCF of Numerators as per given numbers 423/63, 207/9825 is

GCF of Numerators i.e. for 423,207 is 9

LCM of denominators i.e. for 63,9825 is 206325.

Thus, GCF of Fractions is 9/206325.Finally, GCF of Fractions for 423/63, 207/9825 is 9/206325.