GCD of 207, 378, 72 Calculator

Given Input numbers are 207, 378, 72

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

GCD of numbers is the greatest common divisor

So, the GCD (207, 378, 72) = 9.

Given numbers are 207, 378, 72

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3²

Therefore, GCD of 207, 378, 72 is 9.

Given numbers are 207, 378, 72

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

Apply this formula for all numbers.

Step1:

LCM(207, 378) = 8694

GCD(207, 378) = ( 207 x 378 ) / 8694

= 207 / 378

= 207

Step2:

LCM(9, 72) = 72

GCD(9, 72) = ( 9 x 72 ) / 72

= 9 / 72

= 9

So, Greatest Common Divisor of 207, 378, 72 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 955, 26
• GCD of 353, 503, 90
• GCD of 313, 723, 83
• GCD of 769, 510, 54
• GCD of 840, 448, 43

Given numbers are 207, 378, 72
The greatest common divisor of numbers 207, 378, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 378, 72 is 9.

1. What is the GCD of 207, 378, 72?

GCD of given numbers 207, 378, 72 is 9

2. How to calculate the greatest common divisor of 207, 378, 72?

We can find the highest common divisor of 207, 378, 72 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 207, 378, 72 i.e 9.

3. How can I use the GCD of 207, 378, 72Calculator?

Out the numbers 207, 378, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.