GCD of 525, 381, 698, 563 Calculator

Given Input numbers are 525, 381, 698, 563

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 525, 381, 698, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 381, 698, 563 is 1.

Therefore, GCD of numbers 525, 381, 698, 563 is 1

Given Input Data is 525, 381, 698, 563

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 381 is 3 x 127

Prime Factorization of 698 is 2 x 349

Prime Factorization of 563 is 563

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(525, 381) = 66675

GCD(525, 381) = ( 525 x 381 ) / 66675

GCD(525, 381) = 200025 / 66675

GCD(525, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 698

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

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

GCD(3, 698) = 2094 / 2094

GCD(3, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 525, 381, 698, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 557, 930, 764
• GCD of 506, 622, 895, 941
• GCD of 660, 127, 926, 809
• GCD of 345, 310, 565, 863
• GCD of 418, 772, 767, 113

1. What is the GCD of 525, 381, 698, 563?

GCD of 525, 381, 698, 563 is 1

2. Where do I get the detailed procedure to find GCD of 525, 381, 698, 563?

You can find a detailed procedure to find GCD of 525, 381, 698, 563 on our page.

3. How to find GCD of 525, 381, 698, 563 on a calculator?

You can find the GCD of 525, 381, 698, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.