GCD of 422, 342, 616, 624 Calculator

Given Input numbers are 422, 342, 616, 624

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (422, 342, 616, 624) = 2.

Given numbers are 422, 342, 616, 624

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 422, 342, 616, 624 is 2.

Given numbers are 422, 342, 616, 624

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

Apply this formula for all numbers.

Step1:

LCM(422, 342) = 72162

GCD(422, 342) = ( 422 x 342 ) / 72162

= 422 / 342

= 422

Step2:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 422, 342, 616, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 338, 825, 559
• GCD of 792, 714, 640, 104
• GCD of 812, 509, 551, 520
• GCD of 470, 223, 770, 947
• GCD of 814, 705, 568, 117

Given numbers are 422, 342, 616, 624
The greatest common divisor of numbers 422, 342, 616, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 342, 616, 624 is 2.

1. What is the GCD of 422, 342, 616, 624?

GCD of given numbers 422, 342, 616, 624 is 2

2. How to calculate the greatest common divisor of 422, 342, 616, 624?

We can find the highest common divisor of 422, 342, 616, 624 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 422, 342, 616, 624 i.e 2.

3. How can I use the GCD of 422, 342, 616, 624Calculator?

Out the numbers 422, 342, 616, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.