GCD of 208, 970, 75, 532 Calculator

Given Input numbers are 208, 970, 75, 532

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 208, 970, 75, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 970, 75, 532 is 1.

Therefore, GCD of numbers 208, 970, 75, 532 is 1

Given Input Data is 208, 970, 75, 532

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(208, 970) = 100880

GCD(208, 970) = ( 208 x 970 ) / 100880

GCD(208, 970) = 201760 / 100880

GCD(208, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 208, 970, 75, 532 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 994, 15, 569
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• GCD of 539, 216, 61, 797
• GCD of 325, 301, 79, 451
• GCD of 142, 909, 83, 848

1. What is the GCD of 208, 970, 75, 532?

GCD of 208, 970, 75, 532 is 1

2. Where do I get the detailed procedure to find GCD of 208, 970, 75, 532?

You can find a detailed procedure to find GCD of 208, 970, 75, 532 on our page.

3. How to find GCD of 208, 970, 75, 532 on a calculator?

You can find the GCD of 208, 970, 75, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.