GCD of 525, 456, 189 Calculator

Given Input numbers are 525, 456, 189

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

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 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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (525, 456, 189) = 3.

Given numbers are 525, 456, 189

The list of prime factors of all numbers are

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

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

Prime factors of 189 are 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 525, 456, 189 is 3.

Given numbers are 525, 456, 189

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

Apply this formula for all numbers.

Step1:

LCM(525, 456) = 79800

GCD(525, 456) = ( 525 x 456 ) / 79800

= 525 / 456

= 525

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

So, Greatest Common Divisor of 525, 456, 189 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 985, 627
• GCD of 307, 809, 845
• GCD of 714, 217, 435
• GCD of 476, 878, 473
• GCD of 728, 551, 363

Given numbers are 525, 456, 189
The greatest common divisor of numbers 525, 456, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 456, 189 is 3.

1. What is the GCD of 525, 456, 189?

GCD of given numbers 525, 456, 189 is 3

2. How to calculate the greatest common divisor of 525, 456, 189?

We can find the highest common divisor of 525, 456, 189 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 525, 456, 189 i.e 3.

3. How can I use the GCD of 525, 456, 189Calculator?

Out the numbers 525, 456, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.