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GCD of 897, 653, 566, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 897, 653, 566, 704 quickly. Get the easiest ways to solve the greatest common divisor of 897, 653, 566, 704 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 653, 566, 704 with Factoring?

Given Input numbers are 897, 653, 566, 704

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

Divisors of 897 :

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

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

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (897, 653, 566, 704) = 1.

Find GCD of 897, 653, 566, 704 using Prime Factorization

Given numbers are 897, 653, 566, 704

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 653 are 653

Prime factors of 566 are 2 x 283

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Steps to Calculate GCD of 897, 653, 566, 704 using LCM Formula

Given numbers are 897, 653, 566, 704

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

Apply this formula for all numbers.

Step1:

LCM(897, 653) = 585741

GCD(897, 653) = ( 897 x 653 ) / 585741

= 897 / 653

= 897


Step2:

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

= 1 / 566

= 1


Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1


So, Greatest Common Divisor of 897, 653, 566, 704 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 653, 566, 704

Given numbers are 897, 653, 566, 704
The greatest common divisor of numbers 897, 653, 566, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 653, 566, 704 is 1.

FAQs on GCD of 897, 653, 566, 704 Calculator

1. What is the GCD of 897, 653, 566, 704?

GCD of given numbers 897, 653, 566, 704 is 1


2. How to calculate the greatest common divisor of 897, 653, 566, 704?

We can find the highest common divisor of 897, 653, 566, 704 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 897, 653, 566, 704 i.e 1.


3. How can I use the GCD of 897, 653, 566, 704Calculator?

Out the numbers 897, 653, 566, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.