GCD of 820, 332, 402, 306 Calculator

Given Input numbers are 820, 332, 402, 306

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 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (820, 332, 402, 306) = 2.

Given numbers are 820, 332, 402, 306

The list of prime factors of all numbers are

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

Prime factors of 332 are 2 x 2 x 83

Prime factors of 402 are 2 x 3 x 67

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 820, 332, 402, 306 is 2.

Given numbers are 820, 332, 402, 306

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

Apply this formula for all numbers.

Step1:

LCM(820, 332) = 68060

GCD(820, 332) = ( 820 x 332 ) / 68060

= 820 / 332

= 820

Step2:

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

= 4 / 402

= 4

Step3:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

So, Greatest Common Divisor of 820, 332, 402, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 331, 694, 662
• GCD of 165, 898, 113, 322
• GCD of 529, 244, 631, 680
• GCD of 125, 449, 554, 304
• GCD of 538, 297, 308, 723

Given numbers are 820, 332, 402, 306
The greatest common divisor of numbers 820, 332, 402, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 332, 402, 306 is 2.

1. What is the GCD of 820, 332, 402, 306?

GCD of given numbers 820, 332, 402, 306 is 2

2. How to calculate the greatest common divisor of 820, 332, 402, 306?

We can find the highest common divisor of 820, 332, 402, 306 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, 332, 402, 306 i.e 2.

3. How can I use the GCD of 820, 332, 402, 306Calculator?

Out the numbers 820, 332, 402, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.