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GCD of 189, 945, 134, 656 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, 945, 134, 656 quickly. Get the easiest ways to solve the greatest common divisor of 189, 945, 134, 656 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 945, 134, 656 with Factoring?

Given Input numbers are 189, 945, 134, 656

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656


GCD of numbers is the greatest common divisor

So, the GCD (189, 945, 134, 656) = 1.

Find GCD of 189, 945, 134, 656 using Prime Factorization

Given numbers are 189, 945, 134, 656

The list of prime factors of all numbers are

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

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 134 are 2 x 67

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Steps to Calculate GCD of 189, 945, 134, 656 using LCM Formula

Given numbers are 189, 945, 134, 656

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

Apply this formula for all numbers.

Step1:

LCM(189, 945) = 945

GCD(189, 945) = ( 189 x 945 ) / 945

= 189 / 945

= 189


Step2:

LCM(189, 134) = 25326

GCD(189, 134) = ( 189 x 134 ) / 25326

= 189 / 134

= 189


Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1


So, Greatest Common Divisor of 189, 945, 134, 656 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 945, 134, 656

Given numbers are 189, 945, 134, 656
The greatest common divisor of numbers 189, 945, 134, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 945, 134, 656 is 1.

FAQs on GCD of 189, 945, 134, 656 Calculator

1. What is the GCD of 189, 945, 134, 656?

GCD of given numbers 189, 945, 134, 656 is 1


2. How to calculate the greatest common divisor of 189, 945, 134, 656?

We can find the highest common divisor of 189, 945, 134, 656 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, 945, 134, 656 i.e 1.


3. How can I use the GCD of 189, 945, 134, 656Calculator?

Out the numbers 189, 945, 134, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.