GCD of 624, 792, 690, 214 Calculator

Given Input numbers are 624, 792, 690, 214

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

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (624, 792, 690, 214) = 2.

Given numbers are 624, 792, 690, 214

The list of prime factors of all numbers are

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

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 624, 792, 690, 214 is 2.

Given numbers are 624, 792, 690, 214

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

Apply this formula for all numbers.

Step1:

LCM(624, 792) = 20592

GCD(624, 792) = ( 624 x 792 ) / 20592

= 624 / 792

= 624

Step2:

LCM(24, 690) = 2760

GCD(24, 690) = ( 24 x 690 ) / 2760

= 24 / 690

= 24

Step3:

LCM(6, 214) = 642

GCD(6, 214) = ( 6 x 214 ) / 642

= 6 / 214

= 6

So, Greatest Common Divisor of 624, 792, 690, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 796, 682, 216
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Given numbers are 624, 792, 690, 214
The greatest common divisor of numbers 624, 792, 690, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 792, 690, 214 is 2.

1. What is the GCD of 624, 792, 690, 214?

GCD of given numbers 624, 792, 690, 214 is 2

2. How to calculate the greatest common divisor of 624, 792, 690, 214?

We can find the highest common divisor of 624, 792, 690, 214 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 624, 792, 690, 214 i.e 2.

3. How can I use the GCD of 624, 792, 690, 214Calculator?

Out the numbers 624, 792, 690, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.