GCD of 150, 525, 390, 456 Calculator

Given Input numbers are 150, 525, 390, 456

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

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (150, 525, 390, 456) = 3.

Given numbers are 150, 525, 390, 456

The list of prime factors of all numbers are

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

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 150, 525, 390, 456 is 3.

Given numbers are 150, 525, 390, 456

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

Apply this formula for all numbers.

Step1:

LCM(150, 525) = 1050

GCD(150, 525) = ( 150 x 525 ) / 1050

= 150 / 525

= 150

Step2:

LCM(75, 390) = 1950

GCD(75, 390) = ( 75 x 390 ) / 1950

= 75 / 390

= 75

Step3:

LCM(15, 456) = 2280

GCD(15, 456) = ( 15 x 456 ) / 2280

= 15 / 456

= 15

So, Greatest Common Divisor of 150, 525, 390, 456 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 181, 943, 848
• GCD of 469, 353, 189, 614
• GCD of 821, 775, 260, 594
• GCD of 265, 449, 102, 944
• GCD of 171, 916, 103, 918

Given numbers are 150, 525, 390, 456
The greatest common divisor of numbers 150, 525, 390, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 525, 390, 456 is 3.

1. What is the GCD of 150, 525, 390, 456?

GCD of given numbers 150, 525, 390, 456 is 3

2. How to calculate the greatest common divisor of 150, 525, 390, 456?

We can find the highest common divisor of 150, 525, 390, 456 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 150, 525, 390, 456 i.e 3.

3. How can I use the GCD of 150, 525, 390, 456Calculator?

Out the numbers 150, 525, 390, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.