GCD of 696, 350, 508, 518 Calculator

Given Input numbers are 696, 350, 508, 518

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

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (696, 350, 508, 518) = 2.

Given numbers are 696, 350, 508, 518

The list of prime factors of all numbers are

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

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 508 are 2 x 2 x 127

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 696, 350, 508, 518 is 2.

Given numbers are 696, 350, 508, 518

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

Apply this formula for all numbers.

Step1:

LCM(696, 350) = 121800

GCD(696, 350) = ( 696 x 350 ) / 121800

= 696 / 350

= 696

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

So, Greatest Common Divisor of 696, 350, 508, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 274, 487, 383
• GCD of 114, 682, 167, 326
• GCD of 121, 838, 734, 286
• GCD of 469, 216, 713, 911
• GCD of 312, 206, 585, 142

Given numbers are 696, 350, 508, 518
The greatest common divisor of numbers 696, 350, 508, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 350, 508, 518 is 2.

1. What is the GCD of 696, 350, 508, 518?

GCD of given numbers 696, 350, 508, 518 is 2

2. How to calculate the greatest common divisor of 696, 350, 508, 518?

We can find the highest common divisor of 696, 350, 508, 518 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 696, 350, 508, 518 i.e 2.

3. How can I use the GCD of 696, 350, 508, 518Calculator?

Out the numbers 696, 350, 508, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.