GCD of 218, 438, 314, 762 Calculator

Given Input numbers are 218, 438, 314, 762

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 438 :

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (218, 438, 314, 762) = 2.

Given numbers are 218, 438, 314, 762

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 438 are 2 x 3 x 73

Prime factors of 314 are 2 x 157

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 218, 438, 314, 762 is 2.

Given numbers are 218, 438, 314, 762

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

Apply this formula for all numbers.

Step1:

LCM(218, 438) = 47742

GCD(218, 438) = ( 218 x 438 ) / 47742

= 218 / 438

= 218

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

So, Greatest Common Divisor of 218, 438, 314, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 311, 930, 551
• GCD of 292, 605, 586, 472
• GCD of 154, 685, 161, 379
• GCD of 750, 780, 863, 838
• GCD of 537, 798, 420, 173

Given numbers are 218, 438, 314, 762
The greatest common divisor of numbers 218, 438, 314, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 438, 314, 762 is 2.

1. What is the GCD of 218, 438, 314, 762?

GCD of given numbers 218, 438, 314, 762 is 2

2. How to calculate the greatest common divisor of 218, 438, 314, 762?

We can find the highest common divisor of 218, 438, 314, 762 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 218, 438, 314, 762 i.e 2.

3. How can I use the GCD of 218, 438, 314, 762Calculator?

Out the numbers 218, 438, 314, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.