GCD of 946, 561, 462, 741 Calculator

Given Input numbers are 946, 561, 462, 741

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

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 946, 561, 462, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 561, 462, 741 is 1.

Therefore, GCD of numbers 946, 561, 462, 741 is 1

Given Input Data is 946, 561, 462, 741

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 741 is 3 x 13 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(946, 561) = 48246

GCD(946, 561) = ( 946 x 561 ) / 48246

GCD(946, 561) = 530706 / 48246

GCD(946, 561) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 462

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

LCM(11, 462) = 462

GCD(11, 462) = ( 11 x 462 ) / 462

GCD(11, 462) = 5082 / 462

GCD(11, 462) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 741

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

LCM(11, 741) = 8151

GCD(11, 741) = ( 11 x 741 ) / 8151

GCD(11, 741) = 8151 / 8151

GCD(11, 741) = 1

GCD of 946, 561, 462, 741 is 1

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1. What is the GCD of 946, 561, 462, 741?

GCD of 946, 561, 462, 741 is 1

2. Where do I get the detailed procedure to find GCD of 946, 561, 462, 741?

You can find a detailed procedure to find GCD of 946, 561, 462, 741 on our page.

3. How to find GCD of 946, 561, 462, 741 on a calculator?

You can find the GCD of 946, 561, 462, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.