GCD of 820, 984, 344, 652 Calculator

Given Input numbers are 820, 984, 344, 652

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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (820, 984, 344, 652) = 4.

Given numbers are 820, 984, 344, 652

The list of prime factors of all numbers are

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2²

Therefore, GCD of 820, 984, 344, 652 is 4.

Given numbers are 820, 984, 344, 652

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

Apply this formula for all numbers.

Step1:

LCM(820, 984) = 4920

GCD(820, 984) = ( 820 x 984 ) / 4920

= 820 / 984

= 820

Step2:

LCM(164, 344) = 14104

GCD(164, 344) = ( 164 x 344 ) / 14104

= 164 / 344

= 164

Step3:

LCM(4, 652) = 652

GCD(4, 652) = ( 4 x 652 ) / 652

= 4 / 652

= 4

So, Greatest Common Divisor of 820, 984, 344, 652 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 528, 859, 678
• GCD of 590, 614, 196, 466
• GCD of 530, 799, 273, 437
• GCD of 902, 218, 408, 133
• GCD of 320, 215, 275, 207

Given numbers are 820, 984, 344, 652
The greatest common divisor of numbers 820, 984, 344, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 984, 344, 652 is 4.

1. What is the GCD of 820, 984, 344, 652?

GCD of given numbers 820, 984, 344, 652 is 4

2. How to calculate the greatest common divisor of 820, 984, 344, 652?

We can find the highest common divisor of 820, 984, 344, 652 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, 984, 344, 652 i.e 4.

3. How can I use the GCD of 820, 984, 344, 652Calculator?

Out the numbers 820, 984, 344, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.