GCD of 820, 308, 984, 759 Calculator

Given Input numbers are 820, 308, 984, 759

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (820, 308, 984, 759) = 1.

Given numbers are 820, 308, 984, 759

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

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

Prime factors of 759 are 3 x 11 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 820, 308, 984, 759

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

Apply this formula for all numbers.

Step1:

LCM(820, 308) = 63140

GCD(820, 308) = ( 820 x 308 ) / 63140

= 820 / 308

= 820

Step2:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4

Step3:

LCM(4, 759) = 3036

GCD(4, 759) = ( 4 x 759 ) / 3036

= 4 / 759

= 4

So, Greatest Common Divisor of 820, 308, 984, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 371, 871, 132
• GCD of 742, 363, 549, 100
• GCD of 460, 994, 860, 911
• GCD of 411, 102, 250, 143
• GCD of 221, 219, 691, 621

Given numbers are 820, 308, 984, 759
The greatest common divisor of numbers 820, 308, 984, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 308, 984, 759 is 1.

1. What is the GCD of 820, 308, 984, 759?

GCD of given numbers 820, 308, 984, 759 is 1

2. How to calculate the greatest common divisor of 820, 308, 984, 759?

We can find the highest common divisor of 820, 308, 984, 759 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, 308, 984, 759 i.e 1.

3. How can I use the GCD of 820, 308, 984, 759Calculator?

Out the numbers 820, 308, 984, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.