GCD of 855, 915, 725, 815 Calculator

Given Input numbers are 855, 915, 725, 815

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

GCD of numbers is the greatest common divisor

So, the GCD (855, 915, 725, 815) = 5.

Given numbers are 855, 915, 725, 815

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 915 are 3 x 5 x 61

Prime factors of 725 are 5 x 5 x 29

Prime factors of 815 are 5 x 163

The highest common occurrence is 5¹

Therefore, GCD of 855, 915, 725, 815 is 5.

Given numbers are 855, 915, 725, 815

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

Apply this formula for all numbers.

Step1:

LCM(855, 915) = 52155

GCD(855, 915) = ( 855 x 915 ) / 52155

= 855 / 915

= 855

Step2:

LCM(15, 725) = 2175

GCD(15, 725) = ( 15 x 725 ) / 2175

= 15 / 725

= 15

Step3:

LCM(5, 815) = 815

GCD(5, 815) = ( 5 x 815 ) / 815

= 5 / 815

= 5

So, Greatest Common Divisor of 855, 915, 725, 815 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 540, 840, 900
• GCD of 142, 138, 805, 669
• GCD of 353, 179, 183, 161
• GCD of 900, 397, 399, 975
• GCD of 552, 650, 701, 586

Given numbers are 855, 915, 725, 815
The greatest common divisor of numbers 855, 915, 725, 815 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 915, 725, 815 is 5.

1. What is the GCD of 855, 915, 725, 815?

GCD of given numbers 855, 915, 725, 815 is 5

2. How to calculate the greatest common divisor of 855, 915, 725, 815?

We can find the highest common divisor of 855, 915, 725, 815 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 855, 915, 725, 815 i.e 5.

3. How can I use the GCD of 855, 915, 725, 815Calculator?

Out the numbers 855, 915, 725, 815 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.