GCD of 22, 380, 640, 762 Calculator

Given Input numbers are 22, 380, 640, 762

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 762

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

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

Greatest Common Divisior

We found the divisors of 22, 380, 640, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 380, 640, 762 is 2.

Therefore, GCD of numbers 22, 380, 640, 762 is 2

Given Input Data is 22, 380, 640, 762

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

Prime Factorization of 762 is 2 x 3 x 127

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(22, 380) = 4180

GCD(22, 380) = ( 22 x 380 ) / 4180

GCD(22, 380) = 8360 / 4180

GCD(22, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

Step3:

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

GCD of 22, 380, 640, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 410, 562, 328
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• GCD of 43, 750, 380, 279
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• GCD of 17, 305, 608, 592

1. What is the GCD of 22, 380, 640, 762?

GCD of 22, 380, 640, 762 is 2

2. Where do I get the detailed procedure to find GCD of 22, 380, 640, 762?

You can find a detailed procedure to find GCD of 22, 380, 640, 762 on our page.

3. How to find GCD of 22, 380, 640, 762 on a calculator?

You can find the GCD of 22, 380, 640, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.