GCD of 814, 220, 696, 524 Calculator

Given Input numbers are 814, 220, 696, 524

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (814, 220, 696, 524) = 2.

Given numbers are 814, 220, 696, 524

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 220 are 2 x 2 x 5 x 11

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

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 814, 220, 696, 524 is 2.

Given numbers are 814, 220, 696, 524

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

Apply this formula for all numbers.

Step1:

LCM(814, 220) = 8140

GCD(814, 220) = ( 814 x 220 ) / 8140

= 814 / 220

= 814

Step2:

LCM(22, 696) = 7656

GCD(22, 696) = ( 22 x 696 ) / 7656

= 22 / 696

= 22

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 814, 220, 696, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 501, 590, 743
• GCD of 412, 542, 671, 255
• GCD of 457, 903, 182, 833
• GCD of 790, 142, 972, 781
• GCD of 516, 357, 157, 748

Given numbers are 814, 220, 696, 524
The greatest common divisor of numbers 814, 220, 696, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 220, 696, 524 is 2.

1. What is the GCD of 814, 220, 696, 524?

GCD of given numbers 814, 220, 696, 524 is 2

2. How to calculate the greatest common divisor of 814, 220, 696, 524?

We can find the highest common divisor of 814, 220, 696, 524 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 814, 220, 696, 524 i.e 2.

3. How can I use the GCD of 814, 220, 696, 524Calculator?

Out the numbers 814, 220, 696, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.