GCD of 400, 890, 22 Calculator

Given Input numbers are 400, 890, 22

In the factoring method, we have to find the divisors of all numbers

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

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

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

GCD of numbers is the greatest common divisor

So, the GCD (400, 890, 22) = 2.

Given numbers are 400, 890, 22

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 890 are 2 x 5 x 89

Prime factors of 22 are 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 400, 890, 22 is 2.

Given numbers are 400, 890, 22

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(400, 890) = 35600

GCD(400, 890) = ( 400 x 890 ) / 35600

= 400 / 890

= 400

Step2:

LCM(10, 22) = 110

GCD(10, 22) = ( 10 x 22 ) / 110

= 10 / 22

= 10

So, Greatest Common Divisor of 400, 890, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 840, 47
• GCD of 646, 107, 48
• GCD of 207, 338, 74
• GCD of 154, 190, 69
• GCD of 365, 272, 74

Given numbers are 400, 890, 22
The greatest common divisor of numbers 400, 890, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 890, 22 is 2.

1. What is the GCD of 400, 890, 22?

GCD of given numbers 400, 890, 22 is 2

2. How to calculate the greatest common divisor of 400, 890, 22?

We can find the highest common divisor of 400, 890, 22 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 400, 890, 22 i.e 2.

3. How can I use the GCD of 400, 890, 22Calculator?

Out the numbers 400, 890, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.