GCD of 42, 454, 762, 781 Calculator

Given Input numbers are 42, 454, 762, 781

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 42, 454, 762, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 454, 762, 781 is 1.

Therefore, GCD of numbers 42, 454, 762, 781 is 1

Given Input Data is 42, 454, 762, 781

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 454 is 2 x 227

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 781 is 11 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(42, 454) = 9534

GCD(42, 454) = ( 42 x 454 ) / 9534

GCD(42, 454) = 19068 / 9534

GCD(42, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

GCD of 42, 454, 762, 781 is 1

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1. What is the GCD of 42, 454, 762, 781?

GCD of 42, 454, 762, 781 is 1

2. Where do I get the detailed procedure to find GCD of 42, 454, 762, 781?

You can find a detailed procedure to find GCD of 42, 454, 762, 781 on our page.

3. How to find GCD of 42, 454, 762, 781 on a calculator?

You can find the GCD of 42, 454, 762, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.