GCD of 735, 395, 815 Calculator

Given Input numbers are 735, 395, 815

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

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 (735, 395, 815) = 5.

Given numbers are 735, 395, 815

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 395 are 5 x 79

Prime factors of 815 are 5 x 163

The highest common occurrence is 5¹

Therefore, GCD of 735, 395, 815 is 5.

Given numbers are 735, 395, 815

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

Apply this formula for all numbers.

Step1:

LCM(735, 395) = 58065

GCD(735, 395) = ( 735 x 395 ) / 58065

= 735 / 395

= 735

Step2:

LCM(5, 815) = 815

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

= 5 / 815

= 5

So, Greatest Common Divisor of 735, 395, 815 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 876, 651
• GCD of 326, 128, 302
• GCD of 776, 589, 527
• GCD of 831, 852, 989
• GCD of 230, 395, 758

Given numbers are 735, 395, 815
The greatest common divisor of numbers 735, 395, 815 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 395, 815 is 5.

1. What is the GCD of 735, 395, 815?

GCD of given numbers 735, 395, 815 is 5

2. How to calculate the greatest common divisor of 735, 395, 815?

We can find the highest common divisor of 735, 395, 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 735, 395, 815 i.e 5.

3. How can I use the GCD of 735, 395, 815Calculator?

Out the numbers 735, 395, 815 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.