GCD of 730, 725, 704, 310 Calculator

Given Input numbers are 730, 725, 704, 310

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 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (730, 725, 704, 310) = 1.

Given numbers are 730, 725, 704, 310

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 725 are 5 x 5 x 29

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

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 730, 725, 704, 310

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

Apply this formula for all numbers.

Step1:

LCM(730, 725) = 105850

GCD(730, 725) = ( 730 x 725 ) / 105850

= 730 / 725

= 730

Step2:

LCM(5, 704) = 3520

GCD(5, 704) = ( 5 x 704 ) / 3520

= 5 / 704

= 5

Step3:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

So, Greatest Common Divisor of 730, 725, 704, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 353, 645, 268
• GCD of 778, 417, 999, 841
• GCD of 257, 550, 194, 311
• GCD of 196, 814, 667, 422
• GCD of 126, 573, 653, 267

Given numbers are 730, 725, 704, 310
The greatest common divisor of numbers 730, 725, 704, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 725, 704, 310 is 1.

1. What is the GCD of 730, 725, 704, 310?

GCD of given numbers 730, 725, 704, 310 is 1

2. How to calculate the greatest common divisor of 730, 725, 704, 310?

We can find the highest common divisor of 730, 725, 704, 310 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, 725, 704, 310 i.e 1.

3. How can I use the GCD of 730, 725, 704, 310Calculator?

Out the numbers 730, 725, 704, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.