GCD of 345, 642, 587, 340 Calculator

Given Input numbers are 345, 642, 587, 340

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (345, 642, 587, 340) = 1.

Given numbers are 345, 642, 587, 340

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 642 are 2 x 3 x 107

Prime factors of 587 are 587

Prime factors of 340 are 2 x 2 x 5 x 17

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

Given numbers are 345, 642, 587, 340

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

Apply this formula for all numbers.

Step1:

LCM(345, 642) = 73830

GCD(345, 642) = ( 345 x 642 ) / 73830

= 345 / 642

= 345

Step2:

LCM(3, 587) = 1761

GCD(3, 587) = ( 3 x 587 ) / 1761

= 3 / 587

= 3

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 345, 642, 587, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 931, 790, 346
• GCD of 743, 245, 195, 224
• GCD of 664, 931, 277, 106
• GCD of 354, 413, 902, 514
• GCD of 288, 141, 837, 165

Given numbers are 345, 642, 587, 340
The greatest common divisor of numbers 345, 642, 587, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 642, 587, 340 is 1.

1. What is the GCD of 345, 642, 587, 340?

GCD of given numbers 345, 642, 587, 340 is 1

2. How to calculate the greatest common divisor of 345, 642, 587, 340?

We can find the highest common divisor of 345, 642, 587, 340 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, 642, 587, 340 i.e 1.

3. How can I use the GCD of 345, 642, 587, 340Calculator?

Out the numbers 345, 642, 587, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.