GCD of 725, 740, 865, 216 Calculator

Given Input numbers are 725, 740, 865, 216

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 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (725, 740, 865, 216) = 1.

Given numbers are 725, 740, 865, 216

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 865 are 5 x 173

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 725, 740, 865, 216

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

Apply this formula for all numbers.

Step1:

LCM(725, 740) = 107300

GCD(725, 740) = ( 725 x 740 ) / 107300

= 725 / 740

= 725

Step2:

LCM(5, 865) = 865

GCD(5, 865) = ( 5 x 865 ) / 865

= 5 / 865

= 5

Step3:

LCM(5, 216) = 1080

GCD(5, 216) = ( 5 x 216 ) / 1080

= 5 / 216

= 5

So, Greatest Common Divisor of 725, 740, 865, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 861, 384, 789
• GCD of 267, 115, 702, 114
• GCD of 835, 504, 973, 171
• GCD of 719, 632, 675, 499
• GCD of 755, 770, 602, 381

Given numbers are 725, 740, 865, 216
The greatest common divisor of numbers 725, 740, 865, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 740, 865, 216 is 1.

1. What is the GCD of 725, 740, 865, 216?

GCD of given numbers 725, 740, 865, 216 is 1

2. How to calculate the greatest common divisor of 725, 740, 865, 216?

We can find the highest common divisor of 725, 740, 865, 216 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, 740, 865, 216 i.e 1.

3. How can I use the GCD of 725, 740, 865, 216Calculator?

Out the numbers 725, 740, 865, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.