GCD of 315, 748, 721, 813 Calculator

Given Input numbers are 315, 748, 721, 813

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 721 :

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

1, 7, 103, 721

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (315, 748, 721, 813) = 1.

Given numbers are 315, 748, 721, 813

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

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

Prime factors of 721 are 7 x 103

Prime factors of 813 are 3 x 271

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

Given numbers are 315, 748, 721, 813

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

Apply this formula for all numbers.

Step1:

LCM(315, 748) = 235620

GCD(315, 748) = ( 315 x 748 ) / 235620

= 315 / 748

= 315

Step2:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

Step3:

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

= 1 / 813

= 1

So, Greatest Common Divisor of 315, 748, 721, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 230, 388, 369
• GCD of 119, 483, 365, 666
• GCD of 806, 675, 686, 450
• GCD of 686, 473, 787, 721
• GCD of 100, 965, 396, 880

Given numbers are 315, 748, 721, 813
The greatest common divisor of numbers 315, 748, 721, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 748, 721, 813 is 1.

1. What is the GCD of 315, 748, 721, 813?

GCD of given numbers 315, 748, 721, 813 is 1

2. How to calculate the greatest common divisor of 315, 748, 721, 813?

We can find the highest common divisor of 315, 748, 721, 813 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 315, 748, 721, 813 i.e 1.

3. How can I use the GCD of 315, 748, 721, 813Calculator?

Out the numbers 315, 748, 721, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.