GCD of 189, 225, 807, 952 Calculator

Given Input numbers are 189, 225, 807, 952

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

Divisors of 189 :

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

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (189, 225, 807, 952) = 1.

Given numbers are 189, 225, 807, 952

The list of prime factors of all numbers are

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 807 are 3 x 269

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 189, 225, 807, 952

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

Apply this formula for all numbers.

Step1:

LCM(189, 225) = 4725

GCD(189, 225) = ( 189 x 225 ) / 4725

= 189 / 225

= 189

Step2:

LCM(9, 807) = 2421

GCD(9, 807) = ( 9 x 807 ) / 2421

= 9 / 807

= 9

Step3:

LCM(3, 952) = 2856

GCD(3, 952) = ( 3 x 952 ) / 2856

= 3 / 952

= 3

So, Greatest Common Divisor of 189, 225, 807, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 744, 145, 359
• GCD of 960, 745, 747, 653
• GCD of 502, 636, 129, 576
• GCD of 514, 764, 185, 440
• GCD of 217, 587, 744, 386

Given numbers are 189, 225, 807, 952
The greatest common divisor of numbers 189, 225, 807, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 225, 807, 952 is 1.

1. What is the GCD of 189, 225, 807, 952?

GCD of given numbers 189, 225, 807, 952 is 1

2. How to calculate the greatest common divisor of 189, 225, 807, 952?

We can find the highest common divisor of 189, 225, 807, 952 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 189, 225, 807, 952 i.e 1.

3. How can I use the GCD of 189, 225, 807, 952Calculator?

Out the numbers 189, 225, 807, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.