GCD of 528, 183, 816, 972 Calculator

Given Input numbers are 528, 183, 816, 972

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

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 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

GCD of numbers is the greatest common divisor

So, the GCD (528, 183, 816, 972) = 3.

Given numbers are 528, 183, 816, 972

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 183 are 3 x 61

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

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

The highest common occurrence is 3¹

Therefore, GCD of 528, 183, 816, 972 is 3.

Given numbers are 528, 183, 816, 972

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

Apply this formula for all numbers.

Step1:

LCM(528, 183) = 32208

GCD(528, 183) = ( 528 x 183 ) / 32208

= 528 / 183

= 528

Step2:

LCM(3, 816) = 816

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

= 3 / 816

= 3

Step3:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

So, Greatest Common Divisor of 528, 183, 816, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 218, 647, 289
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• GCD of 738, 129, 889, 211
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• GCD of 535, 831, 387, 951

Given numbers are 528, 183, 816, 972
The greatest common divisor of numbers 528, 183, 816, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 183, 816, 972 is 3.

1. What is the GCD of 528, 183, 816, 972?

GCD of given numbers 528, 183, 816, 972 is 3

2. How to calculate the greatest common divisor of 528, 183, 816, 972?

We can find the highest common divisor of 528, 183, 816, 972 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 528, 183, 816, 972 i.e 3.

3. How can I use the GCD of 528, 183, 816, 972Calculator?

Out the numbers 528, 183, 816, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.