GCD of 966, 375, 21, 207 Calculator

Given Input numbers are 966, 375, 21, 207

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 207

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

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 966, 375, 21, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 375, 21, 207 is 3.

Therefore, GCD of numbers 966, 375, 21, 207 is 3

Given Input Data is 966, 375, 21, 207

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 21 is 3 x 7

Prime Factorization of 207 is 3 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(966, 375) = 120750

GCD(966, 375) = ( 966 x 375 ) / 120750

GCD(966, 375) = 362250 / 120750

GCD(966, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 207

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

GCD(3, 207) = 621 / 207

GCD(3, 207) = 3

GCD of 966, 375, 21, 207 is 3

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1. What is the GCD of 966, 375, 21, 207?

GCD of 966, 375, 21, 207 is 3

2. Where do I get the detailed procedure to find GCD of 966, 375, 21, 207?

You can find a detailed procedure to find GCD of 966, 375, 21, 207 on our page.

3. How to find GCD of 966, 375, 21, 207 on a calculator?

You can find the GCD of 966, 375, 21, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.