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GCD of 567, 694, 345, 642 Calculator

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


Online GCD Calculator is useful to find the GCD of 567, 694, 345, 642 quickly. Get the easiest ways to solve the greatest common divisor of 567, 694, 345, 642 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 567, 694, 345, 642 with Factoring?

Given Input numbers are 567, 694, 345, 642

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642


GCD of numbers is the greatest common divisor

So, the GCD (567, 694, 345, 642) = 1.

Find GCD of 567, 694, 345, 642 using Prime Factorization

Given numbers are 567, 694, 345, 642

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 694 are 2 x 347

Prime factors of 345 are 3 x 5 x 23

Prime factors of 642 are 2 x 3 x 107

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

Steps to Calculate GCD of 567, 694, 345, 642 using LCM Formula

Given numbers are 567, 694, 345, 642

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

Apply this formula for all numbers.

Step1:

LCM(567, 694) = 393498

GCD(567, 694) = ( 567 x 694 ) / 393498

= 567 / 694

= 567


Step2:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1


Step3:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1


So, Greatest Common Divisor of 567, 694, 345, 642 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 567, 694, 345, 642

Given numbers are 567, 694, 345, 642
The greatest common divisor of numbers 567, 694, 345, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 694, 345, 642 is 1.

FAQs on GCD of 567, 694, 345, 642 Calculator

1. What is the GCD of 567, 694, 345, 642?

GCD of given numbers 567, 694, 345, 642 is 1


2. How to calculate the greatest common divisor of 567, 694, 345, 642?

We can find the highest common divisor of 567, 694, 345, 642 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 567, 694, 345, 642 i.e 1.


3. How can I use the GCD of 567, 694, 345, 642Calculator?

Out the numbers 567, 694, 345, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.