GCD of 528, 964, 183, 105 Calculator

Given Input numbers are 528, 964, 183, 105

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 528, 964, 183, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 964, 183, 105 is 1.

Therefore, GCD of numbers 528, 964, 183, 105 is 1

Given Input Data is 528, 964, 183, 105

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 183 is 3 x 61

Prime Factorization of 105 is 3 x 5 x 7

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(528, 964) = 127248

GCD(528, 964) = ( 528 x 964 ) / 127248

GCD(528, 964) = 508992 / 127248

GCD(528, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 183

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

LCM(4, 183) = 732

GCD(4, 183) = ( 4 x 183 ) / 732

GCD(4, 183) = 732 / 732

GCD(4, 183) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 528, 964, 183, 105 is 1

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1. What is the GCD of 528, 964, 183, 105?

GCD of 528, 964, 183, 105 is 1

2. Where do I get the detailed procedure to find GCD of 528, 964, 183, 105?

You can find a detailed procedure to find GCD of 528, 964, 183, 105 on our page.

3. How to find GCD of 528, 964, 183, 105 on a calculator?

You can find the GCD of 528, 964, 183, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.