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GCD of 134, 768, 588, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 134, 768, 588, 189 quickly. Get the easiest ways to solve the greatest common divisor of 134, 768, 588, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 134, 768, 588, 189 with Factoring?

Given Input numbers are 134, 768, 588, 189

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

Divisors of 134 :

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

1, 2, 67, 134

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 189 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (134, 768, 588, 189) = 1.

Find GCD of 134, 768, 588, 189 using Prime Factorization

Given numbers are 134, 768, 588, 189

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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

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

Steps to Calculate GCD of 134, 768, 588, 189 using LCM Formula

Given numbers are 134, 768, 588, 189

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

Apply this formula for all numbers.

Step1:

LCM(134, 768) = 51456

GCD(134, 768) = ( 134 x 768 ) / 51456

= 134 / 768

= 134


Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2


Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2


So, Greatest Common Divisor of 134, 768, 588, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 134, 768, 588, 189

Given numbers are 134, 768, 588, 189
The greatest common divisor of numbers 134, 768, 588, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 768, 588, 189 is 1.

FAQs on GCD of 134, 768, 588, 189 Calculator

1. What is the GCD of 134, 768, 588, 189?

GCD of given numbers 134, 768, 588, 189 is 1


2. How to calculate the greatest common divisor of 134, 768, 588, 189?

We can find the highest common divisor of 134, 768, 588, 189 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 134, 768, 588, 189 i.e 1.


3. How can I use the GCD of 134, 768, 588, 189Calculator?

Out the numbers 134, 768, 588, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.