GCD of 642, 450, 22, 860 Calculator

Given Input numbers are 642, 450, 22, 860

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 22

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

1, 2, 11, 22

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 642, 450, 22, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 450, 22, 860 is 2.

Therefore, GCD of numbers 642, 450, 22, 860 is 2

Given Input Data is 642, 450, 22, 860

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 22 is 2 x 11

Prime Factorization of 860 is 2 x 2 x 5 x 43

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(642, 450) = 48150

GCD(642, 450) = ( 642 x 450 ) / 48150

GCD(642, 450) = 288900 / 48150

GCD(642, 450) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 22

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

LCM(6, 22) = 66

GCD(6, 22) = ( 6 x 22 ) / 66

GCD(6, 22) = 132 / 66

GCD(6, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 860

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

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

GCD(2, 860) = 1720 / 860

GCD(2, 860) = 2

GCD of 642, 450, 22, 860 is 2

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1. What is the GCD of 642, 450, 22, 860?

GCD of 642, 450, 22, 860 is 2

2. Where do I get the detailed procedure to find GCD of 642, 450, 22, 860?

You can find a detailed procedure to find GCD of 642, 450, 22, 860 on our page.

3. How to find GCD of 642, 450, 22, 860 on a calculator?

You can find the GCD of 642, 450, 22, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.