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GCD of 654, 543, 697, 918 Calculator

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


Online GCD Calculator is useful to find the GCD of 654, 543, 697, 918 quickly. Get the easiest ways to solve the greatest common divisor of 654, 543, 697, 918 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 654, 543, 697, 918 with Factoring?

Given Input numbers are 654, 543, 697, 918

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 697 :

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

1, 17, 41, 697

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918


GCD of numbers is the greatest common divisor

So, the GCD (654, 543, 697, 918) = 1.

Find GCD of 654, 543, 697, 918 using Prime Factorization

Given numbers are 654, 543, 697, 918

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 543 are 3 x 181

Prime factors of 697 are 17 x 41

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Steps to Calculate GCD of 654, 543, 697, 918 using LCM Formula

Given numbers are 654, 543, 697, 918

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

Apply this formula for all numbers.

Step1:

LCM(654, 543) = 118374

GCD(654, 543) = ( 654 x 543 ) / 118374

= 654 / 543

= 654


Step2:

LCM(3, 697) = 2091

GCD(3, 697) = ( 3 x 697 ) / 2091

= 3 / 697

= 3


Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1


So, Greatest Common Divisor of 654, 543, 697, 918 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 654, 543, 697, 918

Given numbers are 654, 543, 697, 918
The greatest common divisor of numbers 654, 543, 697, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 543, 697, 918 is 1.

FAQs on GCD of 654, 543, 697, 918 Calculator

1. What is the GCD of 654, 543, 697, 918?

GCD of given numbers 654, 543, 697, 918 is 1


2. How to calculate the greatest common divisor of 654, 543, 697, 918?

We can find the highest common divisor of 654, 543, 697, 918 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 654, 543, 697, 918 i.e 1.


3. How can I use the GCD of 654, 543, 697, 918Calculator?

Out the numbers 654, 543, 697, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.