GCD of 345, 627, 421, 289 Calculator

Given Input numbers are 345, 627, 421, 289

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 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (345, 627, 421, 289) = 1.

Given numbers are 345, 627, 421, 289

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 627 are 3 x 11 x 19

Prime factors of 421 are 421

Prime factors of 289 are 17 x 17

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

Given numbers are 345, 627, 421, 289

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

Apply this formula for all numbers.

Step1:

LCM(345, 627) = 72105

GCD(345, 627) = ( 345 x 627 ) / 72105

= 345 / 627

= 345

Step2:

LCM(3, 421) = 1263

GCD(3, 421) = ( 3 x 421 ) / 1263

= 3 / 421

= 3

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 345, 627, 421, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 549, 280, 939
• GCD of 388, 707, 146, 556
• GCD of 533, 840, 735, 293
• GCD of 475, 862, 193, 479
• GCD of 343, 429, 726, 707

Given numbers are 345, 627, 421, 289
The greatest common divisor of numbers 345, 627, 421, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 627, 421, 289 is 1.

1. What is the GCD of 345, 627, 421, 289?

GCD of given numbers 345, 627, 421, 289 is 1

2. How to calculate the greatest common divisor of 345, 627, 421, 289?

We can find the highest common divisor of 345, 627, 421, 289 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, 627, 421, 289 i.e 1.

3. How can I use the GCD of 345, 627, 421, 289Calculator?

Out the numbers 345, 627, 421, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.