GCD of 918, 438, 214, 626 Calculator

Given Input numbers are 918, 438, 214, 626

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

GCD of numbers is the greatest common divisor

So, the GCD (918, 438, 214, 626) = 2.

Given numbers are 918, 438, 214, 626

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 438 are 2 x 3 x 73

Prime factors of 214 are 2 x 107

Prime factors of 626 are 2 x 313

The highest common occurrence is 2¹

Therefore, GCD of 918, 438, 214, 626 is 2.

Given numbers are 918, 438, 214, 626

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

Apply this formula for all numbers.

Step1:

LCM(918, 438) = 67014

GCD(918, 438) = ( 918 x 438 ) / 67014

= 918 / 438

= 918

Step2:

LCM(6, 214) = 642

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

= 6 / 214

= 6

Step3:

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

= 2 / 626

= 2

So, Greatest Common Divisor of 918, 438, 214, 626 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 329, 146, 964
• GCD of 177, 843, 551, 107
• GCD of 929, 402, 621, 127
• GCD of 431, 362, 346, 405
• GCD of 296, 260, 674, 198

Given numbers are 918, 438, 214, 626
The greatest common divisor of numbers 918, 438, 214, 626 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 438, 214, 626 is 2.

1. What is the GCD of 918, 438, 214, 626?

GCD of given numbers 918, 438, 214, 626 is 2

2. How to calculate the greatest common divisor of 918, 438, 214, 626?

We can find the highest common divisor of 918, 438, 214, 626 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 918, 438, 214, 626 i.e 2.

3. How can I use the GCD of 918, 438, 214, 626Calculator?

Out the numbers 918, 438, 214, 626 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.