GCD of 164, 814, 272 Calculator

Given Input numbers are 164, 814, 272

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (164, 814, 272) = 2.

Given numbers are 164, 814, 272

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 814 are 2 x 11 x 37

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 164, 814, 272 is 2.

Given numbers are 164, 814, 272

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

Apply this formula for all numbers.

Step1:

LCM(164, 814) = 66748

GCD(164, 814) = ( 164 x 814 ) / 66748

= 164 / 814

= 164

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 164, 814, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 838, 705
• GCD of 148, 442, 275
• GCD of 914, 778, 120
• GCD of 483, 846, 744
• GCD of 661, 179, 908

Given numbers are 164, 814, 272
The greatest common divisor of numbers 164, 814, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 814, 272 is 2.

1. What is the GCD of 164, 814, 272?

GCD of given numbers 164, 814, 272 is 2

2. How to calculate the greatest common divisor of 164, 814, 272?

We can find the highest common divisor of 164, 814, 272 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 164, 814, 272 i.e 2.

3. How can I use the GCD of 164, 814, 272Calculator?

Out the numbers 164, 814, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.