GCD of 42, 771, 400, 645 Calculator

Given Input numbers are 42, 771, 400, 645

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 42, 771, 400, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 771, 400, 645 is 1.

Therefore, GCD of numbers 42, 771, 400, 645 is 1

Given Input Data is 42, 771, 400, 645

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 771 is 3 x 257

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 645 is 3 x 5 x 43

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, 771) = 10794

GCD(42, 771) = ( 42 x 771 ) / 10794

GCD(42, 771) = 32382 / 10794

GCD(42, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 400

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

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

GCD(3, 400) = 1200 / 1200

GCD(3, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 42, 771, 400, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 350, 207, 381
• GCD of 90, 836, 754, 770
• GCD of 74, 402, 644, 447
• GCD of 83, 323, 966, 795
• GCD of 41, 675, 933, 721

1. What is the GCD of 42, 771, 400, 645?

GCD of 42, 771, 400, 645 is 1

2. Where do I get the detailed procedure to find GCD of 42, 771, 400, 645?

You can find a detailed procedure to find GCD of 42, 771, 400, 645 on our page.

3. How to find GCD of 42, 771, 400, 645 on a calculator?

You can find the GCD of 42, 771, 400, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.