LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 354, 113, 534, 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 354, 113, 534, 189 quickly. Get the easiest ways to solve the greatest common divisor of 354, 113, 534, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 354, 113, 534, 189 with Factoring?

Given Input numbers are 354, 113, 534, 189

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

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 (354, 113, 534, 189) = 1.

Find GCD of 354, 113, 534, 189 using Prime Factorization

Given numbers are 354, 113, 534, 189

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 113 are 113

Prime factors of 534 are 2 x 3 x 89

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 354, 113, 534, 189 using LCM Formula

Given numbers are 354, 113, 534, 189

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

Apply this formula for all numbers.

Step1:

LCM(354, 113) = 40002

GCD(354, 113) = ( 354 x 113 ) / 40002

= 354 / 113

= 354


Step2:

LCM(1, 534) = 534

GCD(1, 534) = ( 1 x 534 ) / 534

= 1 / 534

= 1


Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


So, Greatest Common Divisor of 354, 113, 534, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 354, 113, 534, 189

Given numbers are 354, 113, 534, 189
The greatest common divisor of numbers 354, 113, 534, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 113, 534, 189 is 1.

FAQs on GCD of 354, 113, 534, 189 Calculator

1. What is the GCD of 354, 113, 534, 189?

GCD of given numbers 354, 113, 534, 189 is 1


2. How to calculate the greatest common divisor of 354, 113, 534, 189?

We can find the highest common divisor of 354, 113, 534, 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 354, 113, 534, 189 i.e 1.


3. How can I use the GCD of 354, 113, 534, 189Calculator?

Out the numbers 354, 113, 534, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.