GCD of 152, 326, 164, 300 Calculator

Given Input numbers are 152, 326, 164, 300

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (152, 326, 164, 300) = 2.

Given numbers are 152, 326, 164, 300

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 326 are 2 x 163

Prime factors of 164 are 2 x 2 x 41

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 152, 326, 164, 300 is 2.

Given numbers are 152, 326, 164, 300

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

Apply this formula for all numbers.

Step1:

LCM(152, 326) = 24776

GCD(152, 326) = ( 152 x 326 ) / 24776

= 152 / 326

= 152

Step2:

LCM(2, 164) = 164

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

= 2 / 164

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 152, 326, 164, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 587, 964, 232
• GCD of 214, 145, 617, 629
• GCD of 601, 944, 563, 423
• GCD of 488, 458, 448, 458
• GCD of 477, 475, 971, 614

Given numbers are 152, 326, 164, 300
The greatest common divisor of numbers 152, 326, 164, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 326, 164, 300 is 2.

1. What is the GCD of 152, 326, 164, 300?

GCD of given numbers 152, 326, 164, 300 is 2

2. How to calculate the greatest common divisor of 152, 326, 164, 300?

We can find the highest common divisor of 152, 326, 164, 300 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 152, 326, 164, 300 i.e 2.

3. How can I use the GCD of 152, 326, 164, 300Calculator?

Out the numbers 152, 326, 164, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.