GCD of 506, 765, 942, 456 Calculator

Given Input numbers are 506, 765, 942, 456

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 506, 765, 942, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 765, 942, 456 is 1.

Therefore, GCD of numbers 506, 765, 942, 456 is 1

Given Input Data is 506, 765, 942, 456

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 456 is 2 x 2 x 2 x 3 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(506, 765) = 387090

GCD(506, 765) = ( 506 x 765 ) / 387090

GCD(506, 765) = 387090 / 387090

GCD(506, 765) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 506, 765, 942, 456 is 1

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• GCD of 664, 449, 344, 224
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• GCD of 714, 970, 863, 770

1. What is the GCD of 506, 765, 942, 456?

GCD of 506, 765, 942, 456 is 1

2. Where do I get the detailed procedure to find GCD of 506, 765, 942, 456?

You can find a detailed procedure to find GCD of 506, 765, 942, 456 on our page.

3. How to find GCD of 506, 765, 942, 456 on a calculator?

You can find the GCD of 506, 765, 942, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.