GCD of 820, 808, 628, 716 Calculator

Given Input numbers are 820, 808, 628, 716

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (820, 808, 628, 716) = 4.

Given numbers are 820, 808, 628, 716

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 628 are 2 x 2 x 157

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2²

Therefore, GCD of 820, 808, 628, 716 is 4.

Given numbers are 820, 808, 628, 716

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

Apply this formula for all numbers.

Step1:

LCM(820, 808) = 165640

GCD(820, 808) = ( 820 x 808 ) / 165640

= 820 / 808

= 820

Step2:

LCM(4, 628) = 628

GCD(4, 628) = ( 4 x 628 ) / 628

= 4 / 628

= 4

Step3:

LCM(4, 716) = 716

GCD(4, 716) = ( 4 x 716 ) / 716

= 4 / 716

= 4

So, Greatest Common Divisor of 820, 808, 628, 716 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 113, 132, 323
• GCD of 143, 804, 604, 602
• GCD of 775, 157, 755, 421
• GCD of 515, 221, 610, 644
• GCD of 995, 653, 388, 124

Given numbers are 820, 808, 628, 716
The greatest common divisor of numbers 820, 808, 628, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 808, 628, 716 is 4.

1. What is the GCD of 820, 808, 628, 716?

GCD of given numbers 820, 808, 628, 716 is 4

2. How to calculate the greatest common divisor of 820, 808, 628, 716?

We can find the highest common divisor of 820, 808, 628, 716 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 820, 808, 628, 716 i.e 4.

3. How can I use the GCD of 820, 808, 628, 716Calculator?

Out the numbers 820, 808, 628, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.