GCD of 730, 238, 756, 712 Calculator

Given Input numbers are 730, 238, 756, 712

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (730, 238, 756, 712) = 2.

Given numbers are 730, 238, 756, 712

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 238 are 2 x 7 x 17

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 712 are 2 x 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 730, 238, 756, 712 is 2.

Given numbers are 730, 238, 756, 712

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

Apply this formula for all numbers.

Step1:

LCM(730, 238) = 86870

GCD(730, 238) = ( 730 x 238 ) / 86870

= 730 / 238

= 730

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

So, Greatest Common Divisor of 730, 238, 756, 712 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 767, 329, 593
• GCD of 361, 404, 555, 981
• GCD of 478, 816, 604, 394
• GCD of 316, 455, 190, 240
• GCD of 663, 743, 972, 220

Given numbers are 730, 238, 756, 712
The greatest common divisor of numbers 730, 238, 756, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 238, 756, 712 is 2.

1. What is the GCD of 730, 238, 756, 712?

GCD of given numbers 730, 238, 756, 712 is 2

2. How to calculate the greatest common divisor of 730, 238, 756, 712?

We can find the highest common divisor of 730, 238, 756, 712 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, 238, 756, 712 i.e 2.

3. How can I use the GCD of 730, 238, 756, 712Calculator?

Out the numbers 730, 238, 756, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.