GCD of 414, 239, 72 Calculator

Given Input numbers are 414, 239, 72

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 239 :

The positive integer divisors of 239 that completely divides 239 are.

1, 239

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 (414, 239, 72) = 1.

Given numbers are 414, 239, 72

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 239 are 239

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

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

Given numbers are 414, 239, 72

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

Apply this formula for all numbers.

Step1:

LCM(414, 239) = 98946

GCD(414, 239) = ( 414 x 239 ) / 98946

= 414 / 239

= 414

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

So, Greatest Common Divisor of 414, 239, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 741, 82
• GCD of 970, 410, 73
• GCD of 674, 706, 35
• GCD of 218, 407, 26
• GCD of 985, 217, 82

Given numbers are 414, 239, 72
The greatest common divisor of numbers 414, 239, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 239, 72 is 1.

1. What is the GCD of 414, 239, 72?

GCD of given numbers 414, 239, 72 is 1

2. How to calculate the greatest common divisor of 414, 239, 72?

We can find the highest common divisor of 414, 239, 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 414, 239, 72 i.e 1.

3. How can I use the GCD of 414, 239, 72Calculator?

Out the numbers 414, 239, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.