GCD of 272, 972, 606, 810 Calculator

Given Input numbers are 272, 972, 606, 810

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

Divisors of 272 :

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

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

GCD of numbers is the greatest common divisor

So, the GCD (272, 972, 606, 810) = 2.

Given numbers are 272, 972, 606, 810

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 606 are 2 x 3 x 101

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 272, 972, 606, 810 is 2.

Given numbers are 272, 972, 606, 810

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

Apply this formula for all numbers.

Step1:

LCM(272, 972) = 66096

GCD(272, 972) = ( 272 x 972 ) / 66096

= 272 / 972

= 272

Step2:

LCM(4, 606) = 1212

GCD(4, 606) = ( 4 x 606 ) / 1212

= 4 / 606

= 4

Step3:

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

= 2 / 810

= 2

So, Greatest Common Divisor of 272, 972, 606, 810 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 715, 905, 679
• GCD of 406, 584, 211, 969
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Given numbers are 272, 972, 606, 810
The greatest common divisor of numbers 272, 972, 606, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 972, 606, 810 is 2.

1. What is the GCD of 272, 972, 606, 810?

GCD of given numbers 272, 972, 606, 810 is 2

2. How to calculate the greatest common divisor of 272, 972, 606, 810?

We can find the highest common divisor of 272, 972, 606, 810 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 272, 972, 606, 810 i.e 2.

3. How can I use the GCD of 272, 972, 606, 810Calculator?

Out the numbers 272, 972, 606, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.