GCD of 309, 976, 533, 682 Calculator

Given Input numbers are 309, 976, 533, 682

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (309, 976, 533, 682) = 1.

Given numbers are 309, 976, 533, 682

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

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

Prime factors of 533 are 13 x 41

Prime factors of 682 are 2 x 11 x 31

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

Given numbers are 309, 976, 533, 682

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

Apply this formula for all numbers.

Step1:

LCM(309, 976) = 301584

GCD(309, 976) = ( 309 x 976 ) / 301584

= 309 / 976

= 309

Step2:

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

= 1 / 533

= 1

Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

So, Greatest Common Divisor of 309, 976, 533, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 702, 737, 853
• GCD of 718, 731, 850, 933
• GCD of 922, 939, 566, 421
• GCD of 678, 246, 300, 570
• GCD of 558, 474, 293, 577

Given numbers are 309, 976, 533, 682
The greatest common divisor of numbers 309, 976, 533, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 976, 533, 682 is 1.

1. What is the GCD of 309, 976, 533, 682?

GCD of given numbers 309, 976, 533, 682 is 1

2. How to calculate the greatest common divisor of 309, 976, 533, 682?

We can find the highest common divisor of 309, 976, 533, 682 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 309, 976, 533, 682 i.e 1.

3. How can I use the GCD of 309, 976, 533, 682Calculator?

Out the numbers 309, 976, 533, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.