GCD of 345, 548, 361, 446 Calculator

Given Input numbers are 345, 548, 361, 446

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 361 :

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

1, 19, 361

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (345, 548, 361, 446) = 1.

Given numbers are 345, 548, 361, 446

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 548 are 2 x 2 x 137

Prime factors of 361 are 19 x 19

Prime factors of 446 are 2 x 223

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

Given numbers are 345, 548, 361, 446

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

Apply this formula for all numbers.

Step1:

LCM(345, 548) = 189060

GCD(345, 548) = ( 345 x 548 ) / 189060

= 345 / 548

= 345

Step2:

LCM(1, 361) = 361

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

= 1 / 361

= 1

Step3:

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

= 1 / 446

= 1

So, Greatest Common Divisor of 345, 548, 361, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 684, 259, 772
• GCD of 356, 212, 306, 597
• GCD of 106, 163, 806, 392
• GCD of 961, 691, 367, 656
• GCD of 721, 624, 929, 458

Given numbers are 345, 548, 361, 446
The greatest common divisor of numbers 345, 548, 361, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 548, 361, 446 is 1.

1. What is the GCD of 345, 548, 361, 446?

GCD of given numbers 345, 548, 361, 446 is 1

2. How to calculate the greatest common divisor of 345, 548, 361, 446?

We can find the highest common divisor of 345, 548, 361, 446 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 345, 548, 361, 446 i.e 1.

3. How can I use the GCD of 345, 548, 361, 446Calculator?

Out the numbers 345, 548, 361, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.