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GCD of 725, 146, 522, 897 Calculator

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


Online GCD Calculator is useful to find the GCD of 725, 146, 522, 897 quickly. Get the easiest ways to solve the greatest common divisor of 725, 146, 522, 897 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 725, 146, 522, 897 with Factoring?

Given Input numbers are 725, 146, 522, 897

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897


GCD of numbers is the greatest common divisor

So, the GCD (725, 146, 522, 897) = 1.

Find GCD of 725, 146, 522, 897 using Prime Factorization

Given numbers are 725, 146, 522, 897

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 146 are 2 x 73

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 897 are 3 x 13 x 23

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

Steps to Calculate GCD of 725, 146, 522, 897 using LCM Formula

Given numbers are 725, 146, 522, 897

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

Apply this formula for all numbers.

Step1:

LCM(725, 146) = 105850

GCD(725, 146) = ( 725 x 146 ) / 105850

= 725 / 146

= 725


Step2:

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

= 1 / 522

= 1


Step3:

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

= 1 / 897

= 1


So, Greatest Common Divisor of 725, 146, 522, 897 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 725, 146, 522, 897

Given numbers are 725, 146, 522, 897
The greatest common divisor of numbers 725, 146, 522, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 146, 522, 897 is 1.

FAQs on GCD of 725, 146, 522, 897 Calculator

1. What is the GCD of 725, 146, 522, 897?

GCD of given numbers 725, 146, 522, 897 is 1


2. How to calculate the greatest common divisor of 725, 146, 522, 897?

We can find the highest common divisor of 725, 146, 522, 897 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 725, 146, 522, 897 i.e 1.


3. How can I use the GCD of 725, 146, 522, 897Calculator?

Out the numbers 725, 146, 522, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.