GCD of 345, 361, 439, 420 Calculator

Given Input numbers are 345, 361, 439, 420

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 361 :

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

1, 19, 361

Divisors of 439 :

The positive integer divisors of 439 that completely divides 439 are.

1, 439

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (345, 361, 439, 420) = 1.

Given numbers are 345, 361, 439, 420

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 361 are 19 x 19

Prime factors of 439 are 439

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 345, 361, 439, 420

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

Apply this formula for all numbers.

Step1:

LCM(345, 361) = 124545

GCD(345, 361) = ( 345 x 361 ) / 124545

= 345 / 361

= 345

Step2:

LCM(1, 439) = 439

GCD(1, 439) = ( 1 x 439 ) / 439

= 1 / 439

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 345, 361, 439, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 569, 534, 891
• GCD of 120, 225, 921, 682
• GCD of 541, 265, 739, 988
• GCD of 338, 557, 393, 908
• GCD of 779, 909, 419, 298

Given numbers are 345, 361, 439, 420
The greatest common divisor of numbers 345, 361, 439, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 361, 439, 420 is 1.

1. What is the GCD of 345, 361, 439, 420?

GCD of given numbers 345, 361, 439, 420 is 1

2. How to calculate the greatest common divisor of 345, 361, 439, 420?

We can find the highest common divisor of 345, 361, 439, 420 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, 361, 439, 420 i.e 1.

3. How can I use the GCD of 345, 361, 439, 420Calculator?

Out the numbers 345, 361, 439, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.