GCD of 725, 300, 715, 500 Calculator

Given Input numbers are 725, 300, 715, 500

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

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

GCD of numbers is the greatest common divisor

So, the GCD (725, 300, 715, 500) = 5.

Given numbers are 725, 300, 715, 500

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 715 are 5 x 11 x 13

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

The highest common occurrence is 5¹

Therefore, GCD of 725, 300, 715, 500 is 5.

Given numbers are 725, 300, 715, 500

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

Apply this formula for all numbers.

Step1:

LCM(725, 300) = 8700

GCD(725, 300) = ( 725 x 300 ) / 8700

= 725 / 300

= 725

Step2:

LCM(25, 715) = 3575

GCD(25, 715) = ( 25 x 715 ) / 3575

= 25 / 715

= 25

Step3:

LCM(5, 500) = 500

GCD(5, 500) = ( 5 x 500 ) / 500

= 5 / 500

= 5

So, Greatest Common Divisor of 725, 300, 715, 500 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 850, 392, 861
• GCD of 410, 440, 885, 959
• GCD of 975, 968, 715, 615
• GCD of 111, 747, 877, 349
• GCD of 573, 835, 437, 844

Given numbers are 725, 300, 715, 500
The greatest common divisor of numbers 725, 300, 715, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 300, 715, 500 is 5.

1. What is the GCD of 725, 300, 715, 500?

GCD of given numbers 725, 300, 715, 500 is 5

2. How to calculate the greatest common divisor of 725, 300, 715, 500?

We can find the highest common divisor of 725, 300, 715, 500 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 725, 300, 715, 500 i.e 5.

3. How can I use the GCD of 725, 300, 715, 500Calculator?

Out the numbers 725, 300, 715, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.