GCD of 890, 852, 992, 644 Calculator

Given Input numbers are 890, 852, 992, 644

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 890, 852, 992, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 852, 992, 644 is 2.

Therefore, GCD of numbers 890, 852, 992, 644 is 2

Given Input Data is 890, 852, 992, 644

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(890, 852) = 379140

GCD(890, 852) = ( 890 x 852 ) / 379140

GCD(890, 852) = 758280 / 379140

GCD(890, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 890, 852, 992, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 793, 751, 553
• GCD of 172, 225, 792, 942
• GCD of 497, 194, 726, 806
• GCD of 461, 895, 305, 488
• GCD of 426, 609, 830, 127

1. What is the GCD of 890, 852, 992, 644?

GCD of 890, 852, 992, 644 is 2

2. Where do I get the detailed procedure to find GCD of 890, 852, 992, 644?

You can find a detailed procedure to find GCD of 890, 852, 992, 644 on our page.

3. How to find GCD of 890, 852, 992, 644 on a calculator?

You can find the GCD of 890, 852, 992, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.