GCD of 900, 524, 106, 164 Calculator

Given Input numbers are 900, 524, 106, 164

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

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (900, 524, 106, 164) = 2.

Given numbers are 900, 524, 106, 164

The list of prime factors of all numbers are

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

Prime factors of 524 are 2 x 2 x 131

Prime factors of 106 are 2 x 53

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 900, 524, 106, 164 is 2.

Given numbers are 900, 524, 106, 164

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

Apply this formula for all numbers.

Step1:

LCM(900, 524) = 117900

GCD(900, 524) = ( 900 x 524 ) / 117900

= 900 / 524

= 900

Step2:

LCM(4, 106) = 212

GCD(4, 106) = ( 4 x 106 ) / 212

= 4 / 106

= 4

Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 900, 524, 106, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 426, 223, 947
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Given numbers are 900, 524, 106, 164
The greatest common divisor of numbers 900, 524, 106, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 524, 106, 164 is 2.

1. What is the GCD of 900, 524, 106, 164?

GCD of given numbers 900, 524, 106, 164 is 2

2. How to calculate the greatest common divisor of 900, 524, 106, 164?

We can find the highest common divisor of 900, 524, 106, 164 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 900, 524, 106, 164 i.e 2.

3. How can I use the GCD of 900, 524, 106, 164Calculator?

Out the numbers 900, 524, 106, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.