GCD of 969, 400, 33, 375 Calculator

Given Input numbers are 969, 400, 33, 375

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 375

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

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

Greatest Common Divisior

We found the divisors of 969, 400, 33, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 400, 33, 375 is 1.

Therefore, GCD of numbers 969, 400, 33, 375 is 1

Given Input Data is 969, 400, 33, 375

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 33 is 3 x 11

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

The above numbers do not have any common prime factor. So GCD is 1

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(969, 400) = 387600

GCD(969, 400) = ( 969 x 400 ) / 387600

GCD(969, 400) = 387600 / 387600

GCD(969, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 969, 400, 33, 375 is 1

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• GCD of 346, 628, 46, 373
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1. What is the GCD of 969, 400, 33, 375?

GCD of 969, 400, 33, 375 is 1

2. Where do I get the detailed procedure to find GCD of 969, 400, 33, 375?

You can find a detailed procedure to find GCD of 969, 400, 33, 375 on our page.

3. How to find GCD of 969, 400, 33, 375 on a calculator?

You can find the GCD of 969, 400, 33, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.