GCD of 525, 630, 86, 828 Calculator

Given Input numbers are 525, 630, 86, 828

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 525, 630, 86, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 630, 86, 828 is 1.

Therefore, GCD of numbers 525, 630, 86, 828 is 1

Given Input Data is 525, 630, 86, 828

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 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 86 is 2 x 43

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 630) = 3150

GCD(525, 630) = ( 525 x 630 ) / 3150

GCD(525, 630) = 330750 / 3150

GCD(525, 630) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 86

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

LCM(105, 86) = 9030

GCD(105, 86) = ( 105 x 86 ) / 9030

GCD(105, 86) = 9030 / 9030

GCD(105, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 525, 630, 86, 828 is 1

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1. What is the GCD of 525, 630, 86, 828?

GCD of 525, 630, 86, 828 is 1

2. Where do I get the detailed procedure to find GCD of 525, 630, 86, 828?

You can find a detailed procedure to find GCD of 525, 630, 86, 828 on our page.

3. How to find GCD of 525, 630, 86, 828 on a calculator?

You can find the GCD of 525, 630, 86, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.