GCD of 646, 420, 102, 424 Calculator

Given Input numbers are 646, 420, 102, 424

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

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (646, 420, 102, 424) = 2.

Given numbers are 646, 420, 102, 424

The list of prime factors of all numbers are

Prime factors of 646 are 2 x 17 x 19

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

Prime factors of 102 are 2 x 3 x 17

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 646, 420, 102, 424 is 2.

Given numbers are 646, 420, 102, 424

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

Apply this formula for all numbers.

Step1:

LCM(646, 420) = 135660

GCD(646, 420) = ( 646 x 420 ) / 135660

= 646 / 420

= 646

Step2:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 646, 420, 102, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 766, 649, 591
• GCD of 581, 259, 357, 999
• GCD of 131, 291, 331, 144
• GCD of 255, 566, 119, 348
• GCD of 151, 925, 421, 901

Given numbers are 646, 420, 102, 424
The greatest common divisor of numbers 646, 420, 102, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 420, 102, 424 is 2.

1. What is the GCD of 646, 420, 102, 424?

GCD of given numbers 646, 420, 102, 424 is 2

2. How to calculate the greatest common divisor of 646, 420, 102, 424?

We can find the highest common divisor of 646, 420, 102, 424 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 646, 420, 102, 424 i.e 2.

3. How can I use the GCD of 646, 420, 102, 424Calculator?

Out the numbers 646, 420, 102, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.