GCD of 164, 900, 378, 642 Calculator

Given Input numbers are 164, 900, 378, 642

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (164, 900, 378, 642) = 2.

Given numbers are 164, 900, 378, 642

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 164, 900, 378, 642 is 2.

Given numbers are 164, 900, 378, 642

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

Apply this formula for all numbers.

Step1:

LCM(164, 900) = 36900

GCD(164, 900) = ( 164 x 900 ) / 36900

= 164 / 900

= 164

Step2:

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

= 4 / 378

= 4

Step3:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

So, Greatest Common Divisor of 164, 900, 378, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 973, 200, 135
• GCD of 359, 954, 442, 569
• GCD of 100, 663, 177, 858
• GCD of 359, 715, 569, 449
• GCD of 855, 446, 639, 556

Given numbers are 164, 900, 378, 642
The greatest common divisor of numbers 164, 900, 378, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 900, 378, 642 is 2.

1. What is the GCD of 164, 900, 378, 642?

GCD of given numbers 164, 900, 378, 642 is 2

2. How to calculate the greatest common divisor of 164, 900, 378, 642?

We can find the highest common divisor of 164, 900, 378, 642 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 164, 900, 378, 642 i.e 2.

3. How can I use the GCD of 164, 900, 378, 642Calculator?

Out the numbers 164, 900, 378, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.