GCD of 61, 508, 785, 462 Calculator

Given Input numbers are 61, 508, 785, 462

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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

Greatest Common Divisior

We found the divisors of 61, 508, 785, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 508, 785, 462 is 1.

Therefore, GCD of numbers 61, 508, 785, 462 is 1

Given Input Data is 61, 508, 785, 462

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

Prime Factorization of 61 is 61

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 785 is 5 x 157

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

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(61, 508) = 30988

GCD(61, 508) = ( 61 x 508 ) / 30988

GCD(61, 508) = 30988 / 30988

GCD(61, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 61, 508, 785, 462 is 1

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1. What is the GCD of 61, 508, 785, 462?

GCD of 61, 508, 785, 462 is 1

2. Where do I get the detailed procedure to find GCD of 61, 508, 785, 462?

You can find a detailed procedure to find GCD of 61, 508, 785, 462 on our page.

3. How to find GCD of 61, 508, 785, 462 on a calculator?

You can find the GCD of 61, 508, 785, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.