GCD of 681, 507, 314, 728 Calculator

Given Input numbers are 681, 507, 314, 728

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

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (681, 507, 314, 728) = 1.

Given numbers are 681, 507, 314, 728

The list of prime factors of all numbers are

Prime factors of 681 are 3 x 227

Prime factors of 507 are 3 x 13 x 13

Prime factors of 314 are 2 x 157

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 681, 507, 314, 728

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

Apply this formula for all numbers.

Step1:

LCM(681, 507) = 115089

GCD(681, 507) = ( 681 x 507 ) / 115089

= 681 / 507

= 681

Step2:

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

= 3 / 314

= 3

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 681, 507, 314, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 722, 256, 829
• GCD of 370, 113, 850, 816
• GCD of 755, 513, 134, 764
• GCD of 142, 864, 139, 653
• GCD of 755, 633, 319, 953

Given numbers are 681, 507, 314, 728
The greatest common divisor of numbers 681, 507, 314, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 681, 507, 314, 728 is 1.

1. What is the GCD of 681, 507, 314, 728?

GCD of given numbers 681, 507, 314, 728 is 1

2. How to calculate the greatest common divisor of 681, 507, 314, 728?

We can find the highest common divisor of 681, 507, 314, 728 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 681, 507, 314, 728 i.e 1.

3. How can I use the GCD of 681, 507, 314, 728Calculator?

Out the numbers 681, 507, 314, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.