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GCD of 690, 897, 748, 591 Calculator

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


Online GCD Calculator is useful to find the GCD of 690, 897, 748, 591 quickly. Get the easiest ways to solve the greatest common divisor of 690, 897, 748, 591 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 690, 897, 748, 591 with Factoring?

Given Input numbers are 690, 897, 748, 591

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 897 :

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

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591


GCD of numbers is the greatest common divisor

So, the GCD (690, 897, 748, 591) = 1.

Find GCD of 690, 897, 748, 591 using Prime Factorization

Given numbers are 690, 897, 748, 591

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 897 are 3 x 13 x 23

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 591 are 3 x 197

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

Steps to Calculate GCD of 690, 897, 748, 591 using LCM Formula

Given numbers are 690, 897, 748, 591

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

Apply this formula for all numbers.

Step1:

LCM(690, 897) = 8970

GCD(690, 897) = ( 690 x 897 ) / 8970

= 690 / 897

= 690


Step2:

LCM(69, 748) = 51612

GCD(69, 748) = ( 69 x 748 ) / 51612

= 69 / 748

= 69


Step3:

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

= 1 / 591

= 1


So, Greatest Common Divisor of 690, 897, 748, 591 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 690, 897, 748, 591

Given numbers are 690, 897, 748, 591
The greatest common divisor of numbers 690, 897, 748, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 897, 748, 591 is 1.

FAQs on GCD of 690, 897, 748, 591 Calculator

1. What is the GCD of 690, 897, 748, 591?

GCD of given numbers 690, 897, 748, 591 is 1


2. How to calculate the greatest common divisor of 690, 897, 748, 591?

We can find the highest common divisor of 690, 897, 748, 591 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 690, 897, 748, 591 i.e 1.


3. How can I use the GCD of 690, 897, 748, 591Calculator?

Out the numbers 690, 897, 748, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.