GCD of 565, 753, 946, 213 Calculator

Given Input numbers are 565, 753, 946, 213

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 565, 753, 946, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 753, 946, 213 is 1.

Therefore, GCD of numbers 565, 753, 946, 213 is 1

Given Input Data is 565, 753, 946, 213

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 753 is 3 x 251

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 213 is 3 x 71

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, 753) = 425445

GCD(565, 753) = ( 565 x 753 ) / 425445

GCD(565, 753) = 425445 / 425445

GCD(565, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 565, 753, 946, 213 is 1

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1. What is the GCD of 565, 753, 946, 213?

GCD of 565, 753, 946, 213 is 1

2. Where do I get the detailed procedure to find GCD of 565, 753, 946, 213?

You can find a detailed procedure to find GCD of 565, 753, 946, 213 on our page.

3. How to find GCD of 565, 753, 946, 213 on a calculator?

You can find the GCD of 565, 753, 946, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.