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GCD of 354, 188, 331, 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 354, 188, 331, 775 quickly. Get the easiest ways to solve the greatest common divisor of 354, 188, 331, 775 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 354, 188, 331, 775 with Factoring?

Given Input numbers are 354, 188, 331, 775

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

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 (354, 188, 331, 775) = 1.

Find GCD of 354, 188, 331, 775 using Prime Factorization

Given numbers are 354, 188, 331, 775

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 188 are 2 x 2 x 47

Prime factors of 331 are 331

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 354, 188, 331, 775 using LCM Formula

Given numbers are 354, 188, 331, 775

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

Apply this formula for all numbers.

Step1:

LCM(354, 188) = 33276

GCD(354, 188) = ( 354 x 188 ) / 33276

= 354 / 188

= 354


Step2:

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

= 2 / 331

= 2


Step3:

LCM(1, 775) = 775

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

= 1 / 775

= 1


So, Greatest Common Divisor of 354, 188, 331, 775 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 354, 188, 331, 775

Given numbers are 354, 188, 331, 775
The greatest common divisor of numbers 354, 188, 331, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 188, 331, 775 is 1.

FAQs on GCD of 354, 188, 331, 775 Calculator

1. What is the GCD of 354, 188, 331, 775?

GCD of given numbers 354, 188, 331, 775 is 1


2. How to calculate the greatest common divisor of 354, 188, 331, 775?

We can find the highest common divisor of 354, 188, 331, 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 354, 188, 331, 775 i.e 1.


3. How can I use the GCD of 354, 188, 331, 775Calculator?

Out the numbers 354, 188, 331, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.