GCD of 730, 524, 500, 752 Calculator

Given Input numbers are 730, 524, 500, 752

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (730, 524, 500, 752) = 2.

Given numbers are 730, 524, 500, 752

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 524 are 2 x 2 x 131

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 730, 524, 500, 752 is 2.

Given numbers are 730, 524, 500, 752

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

Apply this formula for all numbers.

Step1:

LCM(730, 524) = 191260

GCD(730, 524) = ( 730 x 524 ) / 191260

= 730 / 524

= 730

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

Step3:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

So, Greatest Common Divisor of 730, 524, 500, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 473, 493, 542
• GCD of 190, 590, 736, 823
• GCD of 117, 887, 343, 770
• GCD of 141, 551, 751, 844
• GCD of 727, 892, 761, 952

Given numbers are 730, 524, 500, 752
The greatest common divisor of numbers 730, 524, 500, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 524, 500, 752 is 2.

1. What is the GCD of 730, 524, 500, 752?

GCD of given numbers 730, 524, 500, 752 is 2

2. How to calculate the greatest common divisor of 730, 524, 500, 752?

We can find the highest common divisor of 730, 524, 500, 752 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, 524, 500, 752 i.e 2.

3. How can I use the GCD of 730, 524, 500, 752Calculator?

Out the numbers 730, 524, 500, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.