GCD of 865, 225, 400, 725 Calculator

Given Input numbers are 865, 225, 400, 725

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

Divisors of 865 :

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

1, 5, 173, 865

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (865, 225, 400, 725) = 5.

Given numbers are 865, 225, 400, 725

The list of prime factors of all numbers are

Prime factors of 865 are 5 x 173

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 725 are 5 x 5 x 29

The highest common occurrence is 5¹

Therefore, GCD of 865, 225, 400, 725 is 5.

Given numbers are 865, 225, 400, 725

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

Apply this formula for all numbers.

Step1:

LCM(865, 225) = 38925

GCD(865, 225) = ( 865 x 225 ) / 38925

= 865 / 225

= 865

Step2:

LCM(5, 400) = 400

GCD(5, 400) = ( 5 x 400 ) / 400

= 5 / 400

= 5

Step3:

LCM(5, 725) = 725

GCD(5, 725) = ( 5 x 725 ) / 725

= 5 / 725

= 5

So, Greatest Common Divisor of 865, 225, 400, 725 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 486, 193, 255
• GCD of 305, 267, 704, 236
• GCD of 967, 926, 808, 139
• GCD of 631, 352, 542, 683
• GCD of 137, 535, 721, 310

Given numbers are 865, 225, 400, 725
The greatest common divisor of numbers 865, 225, 400, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 865, 225, 400, 725 is 5.

1. What is the GCD of 865, 225, 400, 725?

GCD of given numbers 865, 225, 400, 725 is 5

2. How to calculate the greatest common divisor of 865, 225, 400, 725?

We can find the highest common divisor of 865, 225, 400, 725 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 865, 225, 400, 725 i.e 5.

3. How can I use the GCD of 865, 225, 400, 725Calculator?

Out the numbers 865, 225, 400, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.