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GCD of 189, 644, 694, 670 Calculator

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


Online GCD Calculator is useful to find the GCD of 189, 644, 694, 670 quickly. Get the easiest ways to solve the greatest common divisor of 189, 644, 694, 670 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 644, 694, 670 with Factoring?

Given Input numbers are 189, 644, 694, 670

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 694 :

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

1, 2, 347, 694

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670


GCD of numbers is the greatest common divisor

So, the GCD (189, 644, 694, 670) = 1.

Find GCD of 189, 644, 694, 670 using Prime Factorization

Given numbers are 189, 644, 694, 670

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 694 are 2 x 347

Prime factors of 670 are 2 x 5 x 67

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

Steps to Calculate GCD of 189, 644, 694, 670 using LCM Formula

Given numbers are 189, 644, 694, 670

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

Apply this formula for all numbers.

Step1:

LCM(189, 644) = 17388

GCD(189, 644) = ( 189 x 644 ) / 17388

= 189 / 644

= 189


Step2:

LCM(7, 694) = 4858

GCD(7, 694) = ( 7 x 694 ) / 4858

= 7 / 694

= 7


Step3:

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

= 1 / 670

= 1


So, Greatest Common Divisor of 189, 644, 694, 670 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 644, 694, 670

Given numbers are 189, 644, 694, 670
The greatest common divisor of numbers 189, 644, 694, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 644, 694, 670 is 1.

FAQs on GCD of 189, 644, 694, 670 Calculator

1. What is the GCD of 189, 644, 694, 670?

GCD of given numbers 189, 644, 694, 670 is 1


2. How to calculate the greatest common divisor of 189, 644, 694, 670?

We can find the highest common divisor of 189, 644, 694, 670 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 189, 644, 694, 670 i.e 1.


3. How can I use the GCD of 189, 644, 694, 670Calculator?

Out the numbers 189, 644, 694, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.