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GCD of 820, 825, 595, 697 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 820, 825, 595, 697 quickly. Get the easiest ways to solve the greatest common divisor of 820, 825, 595, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 825, 595, 697 with Factoring?

Given Input numbers are 820, 825, 595, 697

In the factoring method, we have to find the divisors of all numbers

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

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

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (820, 825, 595, 697) = 1.

Find GCD of 820, 825, 595, 697 using Prime Factorization

Given numbers are 820, 825, 595, 697

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 595 are 5 x 7 x 17

Prime factors of 697 are 17 x 41

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 820, 825, 595, 697 using LCM Formula

Given numbers are 820, 825, 595, 697

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(820, 825) = 135300

GCD(820, 825) = ( 820 x 825 ) / 135300

= 820 / 825

= 820


Step2:

LCM(5, 595) = 595

GCD(5, 595) = ( 5 x 595 ) / 595

= 5 / 595

= 5


Step3:

LCM(5, 697) = 3485

GCD(5, 697) = ( 5 x 697 ) / 3485

= 5 / 697

= 5


So, Greatest Common Divisor of 820, 825, 595, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 825, 595, 697

Given numbers are 820, 825, 595, 697
The greatest common divisor of numbers 820, 825, 595, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 825, 595, 697 is 1.

FAQs on GCD of 820, 825, 595, 697 Calculator

1. What is the GCD of 820, 825, 595, 697?

GCD of given numbers 820, 825, 595, 697 is 1


2. How to calculate the greatest common divisor of 820, 825, 595, 697?

We can find the highest common divisor of 820, 825, 595, 697 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 820, 825, 595, 697 i.e 1.


3. How can I use the GCD of 820, 825, 595, 697Calculator?

Out the numbers 820, 825, 595, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.