GCD of 528, 870, 956, 199 Calculator

Given Input numbers are 528, 870, 956, 199

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 528, 870, 956, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 870, 956, 199 is 1.

Therefore, GCD of numbers 528, 870, 956, 199 is 1

Given Input Data is 528, 870, 956, 199

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 870 is 2 x 3 x 5 x 29

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 199 is 199

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, 870) = 76560

GCD(528, 870) = ( 528 x 870 ) / 76560

GCD(528, 870) = 459360 / 76560

GCD(528, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 956

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

LCM(6, 956) = 2868

GCD(6, 956) = ( 6 x 956 ) / 2868

GCD(6, 956) = 5736 / 2868

GCD(6, 956) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 199

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

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

GCD(2, 199) = 398 / 398

GCD(2, 199) = 1

GCD of 528, 870, 956, 199 is 1

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1. What is the GCD of 528, 870, 956, 199?

GCD of 528, 870, 956, 199 is 1

2. Where do I get the detailed procedure to find GCD of 528, 870, 956, 199?

You can find a detailed procedure to find GCD of 528, 870, 956, 199 on our page.

3. How to find GCD of 528, 870, 956, 199 on a calculator?

You can find the GCD of 528, 870, 956, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.