GCD of 727, 689, 816, 678 Calculator

Given Input numbers are 727, 689, 816, 678

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

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (727, 689, 816, 678) = 1.

Given numbers are 727, 689, 816, 678

The list of prime factors of all numbers are

Prime factors of 727 are 727

Prime factors of 689 are 13 x 53

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 727, 689, 816, 678

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

Apply this formula for all numbers.

Step1:

LCM(727, 689) = 500903

GCD(727, 689) = ( 727 x 689 ) / 500903

= 727 / 689

= 727

Step2:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 727, 689, 816, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 394, 438, 217
• GCD of 898, 157, 818, 604
• GCD of 558, 477, 656, 941
• GCD of 698, 852, 433, 131
• GCD of 345, 534, 762, 264

Given numbers are 727, 689, 816, 678
The greatest common divisor of numbers 727, 689, 816, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 727, 689, 816, 678 is 1.

1. What is the GCD of 727, 689, 816, 678?

GCD of given numbers 727, 689, 816, 678 is 1

2. How to calculate the greatest common divisor of 727, 689, 816, 678?

We can find the highest common divisor of 727, 689, 816, 678 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 727, 689, 816, 678 i.e 1.

3. How can I use the GCD of 727, 689, 816, 678Calculator?

Out the numbers 727, 689, 816, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.