GCD of 516, 696, 248, 714 Calculator

Given Input numbers are 516, 696, 248, 714

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 248 :

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (516, 696, 248, 714) = 2.

Given numbers are 516, 696, 248, 714

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 516, 696, 248, 714 is 2.

Given numbers are 516, 696, 248, 714

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

Apply this formula for all numbers.

Step1:

LCM(516, 696) = 29928

GCD(516, 696) = ( 516 x 696 ) / 29928

= 516 / 696

= 516

Step2:

LCM(12, 248) = 744

GCD(12, 248) = ( 12 x 248 ) / 744

= 12 / 248

= 12

Step3:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

So, Greatest Common Divisor of 516, 696, 248, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 828, 478, 449
• GCD of 818, 538, 386, 543
• GCD of 507, 677, 154, 561
• GCD of 392, 663, 415, 998
• GCD of 566, 284, 899, 382

Given numbers are 516, 696, 248, 714
The greatest common divisor of numbers 516, 696, 248, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 696, 248, 714 is 2.

1. What is the GCD of 516, 696, 248, 714?

GCD of given numbers 516, 696, 248, 714 is 2

2. How to calculate the greatest common divisor of 516, 696, 248, 714?

We can find the highest common divisor of 516, 696, 248, 714 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 516, 696, 248, 714 i.e 2.

3. How can I use the GCD of 516, 696, 248, 714Calculator?

Out the numbers 516, 696, 248, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.