GCD of 618, 164, 132, 900 Calculator

Given Input numbers are 618, 164, 132, 900

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

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

GCD of numbers is the greatest common divisor

So, the GCD (618, 164, 132, 900) = 2.

Given numbers are 618, 164, 132, 900

The list of prime factors of all numbers are

Prime factors of 618 are 2 x 3 x 103

Prime factors of 164 are 2 x 2 x 41

Prime factors of 132 are 2 x 2 x 3 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 618, 164, 132, 900 is 2.

Given numbers are 618, 164, 132, 900

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

Apply this formula for all numbers.

Step1:

LCM(618, 164) = 50676

GCD(618, 164) = ( 618 x 164 ) / 50676

= 618 / 164

= 618

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 618, 164, 132, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 248, 577, 373
• GCD of 295, 219, 353, 931
• GCD of 606, 747, 563, 879
• GCD of 174, 979, 695, 523
• GCD of 796, 251, 716, 878

Given numbers are 618, 164, 132, 900
The greatest common divisor of numbers 618, 164, 132, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 164, 132, 900 is 2.

1. What is the GCD of 618, 164, 132, 900?

GCD of given numbers 618, 164, 132, 900 is 2

2. How to calculate the greatest common divisor of 618, 164, 132, 900?

We can find the highest common divisor of 618, 164, 132, 900 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 618, 164, 132, 900 i.e 2.

3. How can I use the GCD of 618, 164, 132, 900Calculator?

Out the numbers 618, 164, 132, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.