GCD of 465, 507, 792, 150 Calculator

Given Input numbers are 465, 507, 792, 150

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (465, 507, 792, 150) = 3.

Given numbers are 465, 507, 792, 150

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 507 are 3 x 13 x 13

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 465, 507, 792, 150 is 3.

Given numbers are 465, 507, 792, 150

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

Apply this formula for all numbers.

Step1:

LCM(465, 507) = 78585

GCD(465, 507) = ( 465 x 507 ) / 78585

= 465 / 507

= 465

Step2:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

Step3:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

So, Greatest Common Divisor of 465, 507, 792, 150 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 767, 789, 247
• GCD of 819, 992, 560, 106
• GCD of 553, 936, 602, 307
• GCD of 695, 189, 981, 189
• GCD of 577, 429, 821, 232

Given numbers are 465, 507, 792, 150
The greatest common divisor of numbers 465, 507, 792, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 507, 792, 150 is 3.

1. What is the GCD of 465, 507, 792, 150?

GCD of given numbers 465, 507, 792, 150 is 3

2. How to calculate the greatest common divisor of 465, 507, 792, 150?

We can find the highest common divisor of 465, 507, 792, 150 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 465, 507, 792, 150 i.e 3.

3. How can I use the GCD of 465, 507, 792, 150Calculator?

Out the numbers 465, 507, 792, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.