GCD of 100, 622, 442 Calculator

Given Input numbers are 100, 622, 442

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (100, 622, 442) = 2.

Given numbers are 100, 622, 442

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 622 are 2 x 311

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 100, 622, 442 is 2.

Given numbers are 100, 622, 442

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

Apply this formula for all numbers.

Step1:

LCM(100, 622) = 31100

GCD(100, 622) = ( 100 x 622 ) / 31100

= 100 / 622

= 100

Step2:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 100, 622, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 458, 286
• GCD of 322, 256, 934
• GCD of 709, 811, 900
• GCD of 433, 879, 647
• GCD of 521, 584, 143

Given numbers are 100, 622, 442
The greatest common divisor of numbers 100, 622, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 622, 442 is 2.

1. What is the GCD of 100, 622, 442?

GCD of given numbers 100, 622, 442 is 2

2. How to calculate the greatest common divisor of 100, 622, 442?

We can find the highest common divisor of 100, 622, 442 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 100, 622, 442 i.e 2.

3. How can I use the GCD of 100, 622, 442Calculator?

Out the numbers 100, 622, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.