GCD of 722, 800, 753, 704 Calculator

Given Input numbers are 722, 800, 753, 704

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

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

GCD of numbers is the greatest common divisor

So, the GCD (722, 800, 753, 704) = 1.

Given numbers are 722, 800, 753, 704

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

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

Prime factors of 753 are 3 x 251

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

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

Given numbers are 722, 800, 753, 704

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

Apply this formula for all numbers.

Step1:

LCM(722, 800) = 288800

GCD(722, 800) = ( 722 x 800 ) / 288800

= 722 / 800

= 722

Step2:

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

= 2 / 753

= 2

Step3:

LCM(1, 704) = 704

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

= 1 / 704

= 1

So, Greatest Common Divisor of 722, 800, 753, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 254, 240, 461
• GCD of 209, 120, 668, 234
• GCD of 347, 981, 100, 434
• GCD of 372, 420, 865, 308
• GCD of 952, 385, 680, 176

Given numbers are 722, 800, 753, 704
The greatest common divisor of numbers 722, 800, 753, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 800, 753, 704 is 1.

1. What is the GCD of 722, 800, 753, 704?

GCD of given numbers 722, 800, 753, 704 is 1

2. How to calculate the greatest common divisor of 722, 800, 753, 704?

We can find the highest common divisor of 722, 800, 753, 704 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 722, 800, 753, 704 i.e 1.

3. How can I use the GCD of 722, 800, 753, 704Calculator?

Out the numbers 722, 800, 753, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.