GCD of 354, 489, 755, 361 Calculator

Given Input numbers are 354, 489, 755, 361

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 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (354, 489, 755, 361) = 1.

Given numbers are 354, 489, 755, 361

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 489 are 3 x 163

Prime factors of 755 are 5 x 151

Prime factors of 361 are 19 x 19

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

Given numbers are 354, 489, 755, 361

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

Apply this formula for all numbers.

Step1:

LCM(354, 489) = 57702

GCD(354, 489) = ( 354 x 489 ) / 57702

= 354 / 489

= 354

Step2:

LCM(3, 755) = 2265

GCD(3, 755) = ( 3 x 755 ) / 2265

= 3 / 755

= 3

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 354, 489, 755, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 592, 137, 550
• GCD of 570, 335, 199, 376
• GCD of 543, 831, 666, 156
• GCD of 918, 263, 733, 265
• GCD of 321, 664, 608, 350

Given numbers are 354, 489, 755, 361
The greatest common divisor of numbers 354, 489, 755, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 489, 755, 361 is 1.

1. What is the GCD of 354, 489, 755, 361?

GCD of given numbers 354, 489, 755, 361 is 1

2. How to calculate the greatest common divisor of 354, 489, 755, 361?

We can find the highest common divisor of 354, 489, 755, 361 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, 489, 755, 361 i.e 1.

3. How can I use the GCD of 354, 489, 755, 361Calculator?

Out the numbers 354, 489, 755, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.