GCD of 195, 261, 816, 528 Calculator

Given Input numbers are 195, 261, 816, 528

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

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 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

GCD of numbers is the greatest common divisor

So, the GCD (195, 261, 816, 528) = 3.

Given numbers are 195, 261, 816, 528

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 261 are 3 x 3 x 29

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

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

The highest common occurrence is 3¹

Therefore, GCD of 195, 261, 816, 528 is 3.

Given numbers are 195, 261, 816, 528

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

Apply this formula for all numbers.

Step1:

LCM(195, 261) = 16965

GCD(195, 261) = ( 195 x 261 ) / 16965

= 195 / 261

= 195

Step2:

LCM(3, 816) = 816

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

= 3 / 816

= 3

Step3:

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

= 3 / 528

= 3

So, Greatest Common Divisor of 195, 261, 816, 528 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 719, 730, 736
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Given numbers are 195, 261, 816, 528
The greatest common divisor of numbers 195, 261, 816, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 261, 816, 528 is 3.

1. What is the GCD of 195, 261, 816, 528?

GCD of given numbers 195, 261, 816, 528 is 3

2. How to calculate the greatest common divisor of 195, 261, 816, 528?

We can find the highest common divisor of 195, 261, 816, 528 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 195, 261, 816, 528 i.e 3.

3. How can I use the GCD of 195, 261, 816, 528Calculator?

Out the numbers 195, 261, 816, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.