GCD of 357, 900, 16, 952 Calculator

Given Input numbers are 357, 900, 16, 952

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 357, 900, 16, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 900, 16, 952 is 1.

Therefore, GCD of numbers 357, 900, 16, 952 is 1

Given Input Data is 357, 900, 16, 952

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(357, 900) = 107100

GCD(357, 900) = ( 357 x 900 ) / 107100

GCD(357, 900) = 321300 / 107100

GCD(357, 900) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 357, 900, 16, 952 is 1

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1. What is the GCD of 357, 900, 16, 952?

GCD of 357, 900, 16, 952 is 1

2. Where do I get the detailed procedure to find GCD of 357, 900, 16, 952?

You can find a detailed procedure to find GCD of 357, 900, 16, 952 on our page.

3. How to find GCD of 357, 900, 16, 952 on a calculator?

You can find the GCD of 357, 900, 16, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.