GCD of 312, 528, 721, 380 Calculator

Given Input numbers are 312, 528, 721, 380

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 721 :

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

1, 7, 103, 721

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (312, 528, 721, 380) = 1.

Given numbers are 312, 528, 721, 380

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 721 are 7 x 103

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 312, 528, 721, 380

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

Apply this formula for all numbers.

Step1:

LCM(312, 528) = 6864

GCD(312, 528) = ( 312 x 528 ) / 6864

= 312 / 528

= 312

Step2:

LCM(24, 721) = 17304

GCD(24, 721) = ( 24 x 721 ) / 17304

= 24 / 721

= 24

Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 312, 528, 721, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 282, 493, 621
• GCD of 409, 830, 771, 570
• GCD of 392, 777, 371, 120
• GCD of 127, 894, 742, 217
• GCD of 160, 421, 108, 649

Given numbers are 312, 528, 721, 380
The greatest common divisor of numbers 312, 528, 721, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 528, 721, 380 is 1.

1. What is the GCD of 312, 528, 721, 380?

GCD of given numbers 312, 528, 721, 380 is 1

2. How to calculate the greatest common divisor of 312, 528, 721, 380?

We can find the highest common divisor of 312, 528, 721, 380 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 312, 528, 721, 380 i.e 1.

3. How can I use the GCD of 312, 528, 721, 380Calculator?

Out the numbers 312, 528, 721, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.