GCD of 721, 734, 748, 808 Calculator

Given Input numbers are 721, 734, 748, 808

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 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

GCD of numbers is the greatest common divisor

So, the GCD (721, 734, 748, 808) = 1.

Given numbers are 721, 734, 748, 808

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 734 are 2 x 367

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 808 are 2 x 2 x 2 x 101

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

Given numbers are 721, 734, 748, 808

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

Apply this formula for all numbers.

Step1:

LCM(721, 734) = 529214

GCD(721, 734) = ( 721 x 734 ) / 529214

= 721 / 734

= 721

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

= 1 / 808

= 1

So, Greatest Common Divisor of 721, 734, 748, 808 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 349, 363, 609
• GCD of 799, 629, 255, 937
• GCD of 716, 531, 252, 100
• GCD of 493, 107, 677, 197
• GCD of 660, 420, 528, 574

Given numbers are 721, 734, 748, 808
The greatest common divisor of numbers 721, 734, 748, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 734, 748, 808 is 1.

1. What is the GCD of 721, 734, 748, 808?

GCD of given numbers 721, 734, 748, 808 is 1

2. How to calculate the greatest common divisor of 721, 734, 748, 808?

We can find the highest common divisor of 721, 734, 748, 808 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, 734, 748, 808 i.e 1.

3. How can I use the GCD of 721, 734, 748, 808Calculator?

Out the numbers 721, 734, 748, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.