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GCD of 514, 609, 690, 655 Calculator

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


Online GCD Calculator is useful to find the GCD of 514, 609, 690, 655 quickly. Get the easiest ways to solve the greatest common divisor of 514, 609, 690, 655 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 514, 609, 690, 655 with Factoring?

Given Input numbers are 514, 609, 690, 655

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

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 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655


GCD of numbers is the greatest common divisor

So, the GCD (514, 609, 690, 655) = 1.

Find GCD of 514, 609, 690, 655 using Prime Factorization

Given numbers are 514, 609, 690, 655

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 609 are 3 x 7 x 29

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

Prime factors of 655 are 5 x 131

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

Steps to Calculate GCD of 514, 609, 690, 655 using LCM Formula

Given numbers are 514, 609, 690, 655

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

Apply this formula for all numbers.

Step1:

LCM(514, 609) = 313026

GCD(514, 609) = ( 514 x 609 ) / 313026

= 514 / 609

= 514


Step2:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1


Step3:

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

= 1 / 655

= 1


So, Greatest Common Divisor of 514, 609, 690, 655 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 514, 609, 690, 655

Given numbers are 514, 609, 690, 655
The greatest common divisor of numbers 514, 609, 690, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 609, 690, 655 is 1.

FAQs on GCD of 514, 609, 690, 655 Calculator

1. What is the GCD of 514, 609, 690, 655?

GCD of given numbers 514, 609, 690, 655 is 1


2. How to calculate the greatest common divisor of 514, 609, 690, 655?

We can find the highest common divisor of 514, 609, 690, 655 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 514, 609, 690, 655 i.e 1.


3. How can I use the GCD of 514, 609, 690, 655Calculator?

Out the numbers 514, 609, 690, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.