GCD of 721, 828, 704, 800 Calculator

Given Input numbers are 721, 828, 704, 800

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (721, 828, 704, 800) = 1.

Given numbers are 721, 828, 704, 800

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 721, 828, 704, 800

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

Apply this formula for all numbers.

Step1:

LCM(721, 828) = 596988

GCD(721, 828) = ( 721 x 828 ) / 596988

= 721 / 828

= 721

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

So, Greatest Common Divisor of 721, 828, 704, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 345, 287, 132
• GCD of 279, 321, 863, 857
• GCD of 878, 763, 937, 670
• GCD of 700, 899, 828, 702
• GCD of 777, 350, 553, 944

Given numbers are 721, 828, 704, 800
The greatest common divisor of numbers 721, 828, 704, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 828, 704, 800 is 1.

1. What is the GCD of 721, 828, 704, 800?

GCD of given numbers 721, 828, 704, 800 is 1

2. How to calculate the greatest common divisor of 721, 828, 704, 800?

We can find the highest common divisor of 721, 828, 704, 800 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 721, 828, 704, 800 i.e 1.

3. How can I use the GCD of 721, 828, 704, 800Calculator?

Out the numbers 721, 828, 704, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.