GCD of 30, 552, 875, 975 Calculator

Given Input numbers are 30, 552, 875, 975

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 30, 552, 875, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 552, 875, 975 is 1.

Therefore, GCD of numbers 30, 552, 875, 975 is 1

Given Input Data is 30, 552, 875, 975

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 975 is 3 x 5 x 5 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(30, 552) = 2760

GCD(30, 552) = ( 30 x 552 ) / 2760

GCD(30, 552) = 16560 / 2760

GCD(30, 552) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 875

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

LCM(6, 875) = 5250

GCD(6, 875) = ( 6 x 875 ) / 5250

GCD(6, 875) = 5250 / 5250

GCD(6, 875) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 30, 552, 875, 975 is 1

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• GCD of 27, 693, 752, 812
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1. What is the GCD of 30, 552, 875, 975?

GCD of 30, 552, 875, 975 is 1

2. Where do I get the detailed procedure to find GCD of 30, 552, 875, 975?

You can find a detailed procedure to find GCD of 30, 552, 875, 975 on our page.

3. How to find GCD of 30, 552, 875, 975 on a calculator?

You can find the GCD of 30, 552, 875, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.