GCD of 820, 726, 446, 390 Calculator

Given Input numbers are 820, 726, 446, 390

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (820, 726, 446, 390) = 2.

Given numbers are 820, 726, 446, 390

The list of prime factors of all numbers are

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

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 446 are 2 x 223

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 820, 726, 446, 390 is 2.

Given numbers are 820, 726, 446, 390

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

Apply this formula for all numbers.

Step1:

LCM(820, 726) = 297660

GCD(820, 726) = ( 820 x 726 ) / 297660

= 820 / 726

= 820

Step2:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

Step3:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

So, Greatest Common Divisor of 820, 726, 446, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 675, 288, 776
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• GCD of 641, 514, 863, 956

Given numbers are 820, 726, 446, 390
The greatest common divisor of numbers 820, 726, 446, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 726, 446, 390 is 2.

1. What is the GCD of 820, 726, 446, 390?

GCD of given numbers 820, 726, 446, 390 is 2

2. How to calculate the greatest common divisor of 820, 726, 446, 390?

We can find the highest common divisor of 820, 726, 446, 390 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, 726, 446, 390 i.e 2.

3. How can I use the GCD of 820, 726, 446, 390Calculator?

Out the numbers 820, 726, 446, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.