GCD of 214, 248, 768, 520 Calculator

Given Input numbers are 214, 248, 768, 520

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

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (214, 248, 768, 520) = 2.

Given numbers are 214, 248, 768, 520

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 214, 248, 768, 520 is 2.

Given numbers are 214, 248, 768, 520

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

Apply this formula for all numbers.

Step1:

LCM(214, 248) = 26536

GCD(214, 248) = ( 214 x 248 ) / 26536

= 214 / 248

= 214

Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

Step3:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

So, Greatest Common Divisor of 214, 248, 768, 520 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 751, 649, 973
• GCD of 672, 653, 889, 824
• GCD of 387, 615, 133, 837
• GCD of 127, 308, 658, 295
• GCD of 704, 759, 683, 450

Given numbers are 214, 248, 768, 520
The greatest common divisor of numbers 214, 248, 768, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 248, 768, 520 is 2.

1. What is the GCD of 214, 248, 768, 520?

GCD of given numbers 214, 248, 768, 520 is 2

2. How to calculate the greatest common divisor of 214, 248, 768, 520?

We can find the highest common divisor of 214, 248, 768, 520 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 214, 248, 768, 520 i.e 2.

3. How can I use the GCD of 214, 248, 768, 520Calculator?

Out the numbers 214, 248, 768, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.