GCD of 868, 776, 825, 153 Calculator

Given Input numbers are 868, 776, 825, 153

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 868, 776, 825, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 776, 825, 153 is 1.

Therefore, GCD of numbers 868, 776, 825, 153 is 1

Given Input Data is 868, 776, 825, 153

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 153 is 3 x 3 x 17

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(868, 776) = 168392

GCD(868, 776) = ( 868 x 776 ) / 168392

GCD(868, 776) = 673568 / 168392

GCD(868, 776) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 825

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

LCM(4, 825) = 3300

GCD(4, 825) = ( 4 x 825 ) / 3300

GCD(4, 825) = 3300 / 3300

GCD(4, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 868, 776, 825, 153 is 1

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1. What is the GCD of 868, 776, 825, 153?

GCD of 868, 776, 825, 153 is 1

2. Where do I get the detailed procedure to find GCD of 868, 776, 825, 153?

You can find a detailed procedure to find GCD of 868, 776, 825, 153 on our page.

3. How to find GCD of 868, 776, 825, 153 on a calculator?

You can find the GCD of 868, 776, 825, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.