GCD of 272, 192, 764, 564 Calculator

Given Input numbers are 272, 192, 764, 564

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (272, 192, 764, 564) = 4.

Given numbers are 272, 192, 764, 564

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 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 764 are 2 x 2 x 191

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2²

Therefore, GCD of 272, 192, 764, 564 is 4.

Given numbers are 272, 192, 764, 564

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

Apply this formula for all numbers.

Step1:

LCM(272, 192) = 3264

GCD(272, 192) = ( 272 x 192 ) / 3264

= 272 / 192

= 272

Step2:

LCM(16, 764) = 3056

GCD(16, 764) = ( 16 x 764 ) / 3056

= 16 / 764

= 16

Step3:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

So, Greatest Common Divisor of 272, 192, 764, 564 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 608, 807, 578
• GCD of 371, 435, 932, 609
• GCD of 535, 156, 896, 172
• GCD of 229, 419, 534, 209
• GCD of 112, 998, 721, 534

Given numbers are 272, 192, 764, 564
The greatest common divisor of numbers 272, 192, 764, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 192, 764, 564 is 4.

1. What is the GCD of 272, 192, 764, 564?

GCD of given numbers 272, 192, 764, 564 is 4

2. How to calculate the greatest common divisor of 272, 192, 764, 564?

We can find the highest common divisor of 272, 192, 764, 564 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, 192, 764, 564 i.e 4.

3. How can I use the GCD of 272, 192, 764, 564Calculator?

Out the numbers 272, 192, 764, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.