GCD of 22, 944, 957, 850 Calculator

Given Input numbers are 22, 944, 957, 850

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 22, 944, 957, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 944, 957, 850 is 1.

Therefore, GCD of numbers 22, 944, 957, 850 is 1

Given Input Data is 22, 944, 957, 850

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 850 is 2 x 5 x 5 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(22, 944) = 10384

GCD(22, 944) = ( 22 x 944 ) / 10384

GCD(22, 944) = 20768 / 10384

GCD(22, 944) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 957

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

LCM(2, 957) = 1914

GCD(2, 957) = ( 2 x 957 ) / 1914

GCD(2, 957) = 1914 / 1914

GCD(2, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 22, 944, 957, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 639, 628, 812
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• GCD of 24, 429, 641, 250
• GCD of 74, 704, 987, 868

1. What is the GCD of 22, 944, 957, 850?

GCD of 22, 944, 957, 850 is 1

2. Where do I get the detailed procedure to find GCD of 22, 944, 957, 850?

You can find a detailed procedure to find GCD of 22, 944, 957, 850 on our page.

3. How to find GCD of 22, 944, 957, 850 on a calculator?

You can find the GCD of 22, 944, 957, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.