GCD of 809, 491, 976, 982 Calculator

Given Input numbers are 809, 491, 976, 982

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

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (809, 491, 976, 982) = 1.

Given numbers are 809, 491, 976, 982

The list of prime factors of all numbers are

Prime factors of 809 are 809

Prime factors of 491 are 491

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 982 are 2 x 491

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

Given numbers are 809, 491, 976, 982

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

Apply this formula for all numbers.

Step1:

LCM(809, 491) = 397219

GCD(809, 491) = ( 809 x 491 ) / 397219

= 809 / 491

= 809

Step2:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

So, Greatest Common Divisor of 809, 491, 976, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 412, 532, 766
• GCD of 634, 440, 824, 408
• GCD of 269, 758, 110, 119
• GCD of 507, 259, 309, 777
• GCD of 965, 416, 505, 850

Given numbers are 809, 491, 976, 982
The greatest common divisor of numbers 809, 491, 976, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 809, 491, 976, 982 is 1.

1. What is the GCD of 809, 491, 976, 982?

GCD of given numbers 809, 491, 976, 982 is 1

2. How to calculate the greatest common divisor of 809, 491, 976, 982?

We can find the highest common divisor of 809, 491, 976, 982 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 809, 491, 976, 982 i.e 1.

3. How can I use the GCD of 809, 491, 976, 982Calculator?

Out the numbers 809, 491, 976, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.