GCD of 759, 816, 252, 272 Calculator

Given Input numbers are 759, 816, 252, 272

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 (759, 816, 252, 272) = 1.

Given numbers are 759, 816, 252, 272

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

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

Given numbers are 759, 816, 252, 272

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

Apply this formula for all numbers.

Step1:

LCM(759, 816) = 206448

GCD(759, 816) = ( 759 x 816 ) / 206448

= 759 / 816

= 759

Step2:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

Step3:

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

= 3 / 272

= 3

So, Greatest Common Divisor of 759, 816, 252, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 790, 963, 472
• GCD of 321, 366, 460, 344
• GCD of 397, 546, 960, 460
• GCD of 692, 570, 570, 555
• GCD of 823, 969, 190, 924

Given numbers are 759, 816, 252, 272
The greatest common divisor of numbers 759, 816, 252, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 816, 252, 272 is 1.

1. What is the GCD of 759, 816, 252, 272?

GCD of given numbers 759, 816, 252, 272 is 1

2. How to calculate the greatest common divisor of 759, 816, 252, 272?

We can find the highest common divisor of 759, 816, 252, 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 759, 816, 252, 272 i.e 1.

3. How can I use the GCD of 759, 816, 252, 272Calculator?

Out the numbers 759, 816, 252, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.