GCD of 565, 974, 822, 950 Calculator

Given Input numbers are 565, 974, 822, 950

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 565, 974, 822, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 974, 822, 950 is 1.

Therefore, GCD of numbers 565, 974, 822, 950 is 1

Given Input Data is 565, 974, 822, 950

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 974 is 2 x 487

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 950 is 2 x 5 x 5 x 19

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(565, 974) = 550310

GCD(565, 974) = ( 565 x 974 ) / 550310

GCD(565, 974) = 550310 / 550310

GCD(565, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 565, 974, 822, 950 is 1

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1. What is the GCD of 565, 974, 822, 950?

GCD of 565, 974, 822, 950 is 1

2. Where do I get the detailed procedure to find GCD of 565, 974, 822, 950?

You can find a detailed procedure to find GCD of 565, 974, 822, 950 on our page.

3. How to find GCD of 565, 974, 822, 950 on a calculator?

You can find the GCD of 565, 974, 822, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.