GCD of 528, 559, 661, 143 Calculator

Given Input numbers are 528, 559, 661, 143

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 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 528, 559, 661, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 559, 661, 143 is 1.

Therefore, GCD of numbers 528, 559, 661, 143 is 1

Given Input Data is 528, 559, 661, 143

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 559 is 13 x 43

Prime Factorization of 661 is 661

Prime Factorization of 143 is 11 x 13

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, 559) = 295152

GCD(528, 559) = ( 528 x 559 ) / 295152

GCD(528, 559) = 295152 / 295152

GCD(528, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 528, 559, 661, 143 is 1

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1. What is the GCD of 528, 559, 661, 143?

GCD of 528, 559, 661, 143 is 1

2. Where do I get the detailed procedure to find GCD of 528, 559, 661, 143?

You can find a detailed procedure to find GCD of 528, 559, 661, 143 on our page.

3. How to find GCD of 528, 559, 661, 143 on a calculator?

You can find the GCD of 528, 559, 661, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.