GCD of 730, 505, 249, 320 Calculator

Given Input numbers are 730, 505, 249, 320

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (730, 505, 249, 320) = 1.

Given numbers are 730, 505, 249, 320

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 505 are 5 x 101

Prime factors of 249 are 3 x 83

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 730, 505, 249, 320

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

Apply this formula for all numbers.

Step1:

LCM(730, 505) = 73730

GCD(730, 505) = ( 730 x 505 ) / 73730

= 730 / 505

= 730

Step2:

LCM(5, 249) = 1245

GCD(5, 249) = ( 5 x 249 ) / 1245

= 5 / 249

= 5

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 730, 505, 249, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 738, 878, 485
• GCD of 981, 431, 237, 348
• GCD of 991, 110, 317, 441
• GCD of 545, 301, 812, 110
• GCD of 771, 810, 648, 875

Given numbers are 730, 505, 249, 320
The greatest common divisor of numbers 730, 505, 249, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 505, 249, 320 is 1.

1. What is the GCD of 730, 505, 249, 320?

GCD of given numbers 730, 505, 249, 320 is 1

2. How to calculate the greatest common divisor of 730, 505, 249, 320?

We can find the highest common divisor of 730, 505, 249, 320 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 730, 505, 249, 320 i.e 1.

3. How can I use the GCD of 730, 505, 249, 320Calculator?

Out the numbers 730, 505, 249, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.