GCD of 642, 351, 500, 421 Calculator

Given Input numbers are 642, 351, 500, 421

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

Divisors of 642 :

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

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 421 :

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

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (642, 351, 500, 421) = 1.

Given numbers are 642, 351, 500, 421

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 421 are 421

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

Given numbers are 642, 351, 500, 421

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

Apply this formula for all numbers.

Step1:

LCM(642, 351) = 75114

GCD(642, 351) = ( 642 x 351 ) / 75114

= 642 / 351

= 642

Step2:

LCM(3, 500) = 1500

GCD(3, 500) = ( 3 x 500 ) / 1500

= 3 / 500

= 3

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 642, 351, 500, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 933, 609, 326
• GCD of 214, 326, 288, 111
• GCD of 459, 711, 214, 589
• GCD of 982, 495, 858, 991
• GCD of 805, 774, 677, 537

Given numbers are 642, 351, 500, 421
The greatest common divisor of numbers 642, 351, 500, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 351, 500, 421 is 1.

1. What is the GCD of 642, 351, 500, 421?

GCD of given numbers 642, 351, 500, 421 is 1

2. How to calculate the greatest common divisor of 642, 351, 500, 421?

We can find the highest common divisor of 642, 351, 500, 421 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 642, 351, 500, 421 i.e 1.

3. How can I use the GCD of 642, 351, 500, 421Calculator?

Out the numbers 642, 351, 500, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.