GCD of 996, 918, 272, 564 Calculator

Given Input numbers are 996, 918, 272, 564

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 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 (996, 918, 272, 564) = 2.

Given numbers are 996, 918, 272, 564

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

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

The highest common occurrence is 2¹

Therefore, GCD of 996, 918, 272, 564 is 2.

Given numbers are 996, 918, 272, 564

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

Apply this formula for all numbers.

Step1:

LCM(996, 918) = 152388

GCD(996, 918) = ( 996 x 918 ) / 152388

= 996 / 918

= 996

Step2:

LCM(6, 272) = 816

GCD(6, 272) = ( 6 x 272 ) / 816

= 6 / 272

= 6

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 996, 918, 272, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 838, 263, 946
• GCD of 491, 223, 569, 491
• GCD of 603, 450, 699, 380
• GCD of 663, 500, 941, 473
• GCD of 161, 997, 739, 559

Given numbers are 996, 918, 272, 564
The greatest common divisor of numbers 996, 918, 272, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 918, 272, 564 is 2.

1. What is the GCD of 996, 918, 272, 564?

GCD of given numbers 996, 918, 272, 564 is 2

2. How to calculate the greatest common divisor of 996, 918, 272, 564?

We can find the highest common divisor of 996, 918, 272, 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 996, 918, 272, 564 i.e 2.

3. How can I use the GCD of 996, 918, 272, 564Calculator?

Out the numbers 996, 918, 272, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.