GCD of 642, 648, 343, 420 Calculator

Given Input numbers are 642, 648, 343, 420

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

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 (642, 648, 343, 420) = 1.

Given numbers are 642, 648, 343, 420

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 343 are 7 x 7 x 7

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 642, 648, 343, 420

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

Apply this formula for all numbers.

Step1:

LCM(642, 648) = 69336

GCD(642, 648) = ( 642 x 648 ) / 69336

= 642 / 648

= 642

Step2:

LCM(6, 343) = 2058

GCD(6, 343) = ( 6 x 343 ) / 2058

= 6 / 343

= 6

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 642, 648, 343, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 918, 572, 579
• GCD of 757, 426, 718, 414
• GCD of 422, 370, 931, 204
• GCD of 389, 667, 872, 922
• GCD of 627, 488, 662, 928

Given numbers are 642, 648, 343, 420
The greatest common divisor of numbers 642, 648, 343, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 648, 343, 420 is 1.

1. What is the GCD of 642, 648, 343, 420?

GCD of given numbers 642, 648, 343, 420 is 1

2. How to calculate the greatest common divisor of 642, 648, 343, 420?

We can find the highest common divisor of 642, 648, 343, 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 642, 648, 343, 420 i.e 1.

3. How can I use the GCD of 642, 648, 343, 420Calculator?

Out the numbers 642, 648, 343, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.