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GCD of 338, 189, 147, 775 Calculator

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


Online GCD Calculator is useful to find the GCD of 338, 189, 147, 775 quickly. Get the easiest ways to solve the greatest common divisor of 338, 189, 147, 775 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 338, 189, 147, 775 with Factoring?

Given Input numbers are 338, 189, 147, 775

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 189 :

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

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775


GCD of numbers is the greatest common divisor

So, the GCD (338, 189, 147, 775) = 1.

Find GCD of 338, 189, 147, 775 using Prime Factorization

Given numbers are 338, 189, 147, 775

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 147 are 3 x 7 x 7

Prime factors of 775 are 5 x 5 x 31

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

Steps to Calculate GCD of 338, 189, 147, 775 using LCM Formula

Given numbers are 338, 189, 147, 775

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

Apply this formula for all numbers.

Step1:

LCM(338, 189) = 63882

GCD(338, 189) = ( 338 x 189 ) / 63882

= 338 / 189

= 338


Step2:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1


Step3:

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

= 1 / 775

= 1


So, Greatest Common Divisor of 338, 189, 147, 775 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 338, 189, 147, 775

Given numbers are 338, 189, 147, 775
The greatest common divisor of numbers 338, 189, 147, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 189, 147, 775 is 1.

FAQs on GCD of 338, 189, 147, 775 Calculator

1. What is the GCD of 338, 189, 147, 775?

GCD of given numbers 338, 189, 147, 775 is 1


2. How to calculate the greatest common divisor of 338, 189, 147, 775?

We can find the highest common divisor of 338, 189, 147, 775 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 338, 189, 147, 775 i.e 1.


3. How can I use the GCD of 338, 189, 147, 775Calculator?

Out the numbers 338, 189, 147, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.