GCD of 713, 677, 816, 828 Calculator

Given Input numbers are 713, 677, 816, 828

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

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (713, 677, 816, 828) = 1.

Given numbers are 713, 677, 816, 828

The list of prime factors of all numbers are

Prime factors of 713 are 23 x 31

Prime factors of 677 are 677

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 713, 677, 816, 828

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

Apply this formula for all numbers.

Step1:

LCM(713, 677) = 482701

GCD(713, 677) = ( 713 x 677 ) / 482701

= 713 / 677

= 713

Step2:

LCM(1, 816) = 816

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

= 1 / 816

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 713, 677, 816, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 637, 216, 602
• GCD of 614, 860, 562, 991
• GCD of 883, 485, 107, 439
• GCD of 527, 272, 265, 451
• GCD of 217, 393, 375, 761

Given numbers are 713, 677, 816, 828
The greatest common divisor of numbers 713, 677, 816, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 677, 816, 828 is 1.

1. What is the GCD of 713, 677, 816, 828?

GCD of given numbers 713, 677, 816, 828 is 1

2. How to calculate the greatest common divisor of 713, 677, 816, 828?

We can find the highest common divisor of 713, 677, 816, 828 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 713, 677, 816, 828 i.e 1.

3. How can I use the GCD of 713, 677, 816, 828Calculator?

Out the numbers 713, 677, 816, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.