GCD of 116, 818, 696, 420 Calculator

Given Input numbers are 116, 818, 696, 420

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (116, 818, 696, 420) = 2.

Given numbers are 116, 818, 696, 420

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 818 are 2 x 409

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 116, 818, 696, 420 is 2.

Given numbers are 116, 818, 696, 420

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

Apply this formula for all numbers.

Step1:

LCM(116, 818) = 47444

GCD(116, 818) = ( 116 x 818 ) / 47444

= 116 / 818

= 116

Step2:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 116, 818, 696, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 605, 950, 654
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Given numbers are 116, 818, 696, 420
The greatest common divisor of numbers 116, 818, 696, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 818, 696, 420 is 2.

1. What is the GCD of 116, 818, 696, 420?

GCD of given numbers 116, 818, 696, 420 is 2

2. How to calculate the greatest common divisor of 116, 818, 696, 420?

We can find the highest common divisor of 116, 818, 696, 420 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 116, 818, 696, 420 i.e 2.

3. How can I use the GCD of 116, 818, 696, 420Calculator?

Out the numbers 116, 818, 696, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.