GCD of 762, 640, 21, 456 Calculator

Given Input numbers are 762, 640, 21, 456

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

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 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 762, 640, 21, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 640, 21, 456 is 1.

Therefore, GCD of numbers 762, 640, 21, 456 is 1

Given Input Data is 762, 640, 21, 456

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 21 is 3 x 7

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(762, 640) = 243840

GCD(762, 640) = ( 762 x 640 ) / 243840

GCD(762, 640) = 487680 / 243840

GCD(762, 640) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 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 762, 640, 21, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 845, 66, 569
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• GCD of 302, 103, 87, 771
• GCD of 975, 695, 31, 273

1. What is the GCD of 762, 640, 21, 456?

GCD of 762, 640, 21, 456 is 1

2. Where do I get the detailed procedure to find GCD of 762, 640, 21, 456?

You can find a detailed procedure to find GCD of 762, 640, 21, 456 on our page.

3. How to find GCD of 762, 640, 21, 456 on a calculator?

You can find the GCD of 762, 640, 21, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.