GCD of 524, 921, 75, 268 Calculator

Given Input numbers are 524, 921, 75, 268

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 524, 921, 75, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 921, 75, 268 is 1.

Therefore, GCD of numbers 524, 921, 75, 268 is 1

Given Input Data is 524, 921, 75, 268

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 921 is 3 x 307

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 268 is 2 x 2 x 67

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(524, 921) = 482604

GCD(524, 921) = ( 524 x 921 ) / 482604

GCD(524, 921) = 482604 / 482604

GCD(524, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 524, 921, 75, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 780, 86, 389
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• GCD of 326, 294, 14, 280
• GCD of 782, 424, 18, 681
• GCD of 722, 629, 24, 832

1. What is the GCD of 524, 921, 75, 268?

GCD of 524, 921, 75, 268 is 1

2. Where do I get the detailed procedure to find GCD of 524, 921, 75, 268?

You can find a detailed procedure to find GCD of 524, 921, 75, 268 on our page.

3. How to find GCD of 524, 921, 75, 268 on a calculator?

You can find the GCD of 524, 921, 75, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.