GCD of 676, 494, 440, 309 Calculator

Given Input numbers are 676, 494, 440, 309

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 309 :

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

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (676, 494, 440, 309) = 1.

Given numbers are 676, 494, 440, 309

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 494 are 2 x 13 x 19

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 309 are 3 x 103

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

Given numbers are 676, 494, 440, 309

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

Apply this formula for all numbers.

Step1:

LCM(676, 494) = 12844

GCD(676, 494) = ( 676 x 494 ) / 12844

= 676 / 494

= 676

Step2:

LCM(26, 440) = 5720

GCD(26, 440) = ( 26 x 440 ) / 5720

= 26 / 440

= 26

Step3:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

So, Greatest Common Divisor of 676, 494, 440, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 709, 450, 227
• GCD of 357, 954, 417, 963
• GCD of 273, 457, 456, 323
• GCD of 460, 427, 592, 521
• GCD of 134, 553, 174, 503

Given numbers are 676, 494, 440, 309
The greatest common divisor of numbers 676, 494, 440, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 494, 440, 309 is 1.

1. What is the GCD of 676, 494, 440, 309?

GCD of given numbers 676, 494, 440, 309 is 1

2. How to calculate the greatest common divisor of 676, 494, 440, 309?

We can find the highest common divisor of 676, 494, 440, 309 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 676, 494, 440, 309 i.e 1.

3. How can I use the GCD of 676, 494, 440, 309Calculator?

Out the numbers 676, 494, 440, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.