GCD of 345, 775, 865 Calculator

Given Input numbers are 345, 775, 865

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 865 :

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

1, 5, 173, 865

GCD of numbers is the greatest common divisor

So, the GCD (345, 775, 865) = 5.

Given numbers are 345, 775, 865

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 775 are 5 x 5 x 31

Prime factors of 865 are 5 x 173

The highest common occurrence is 5¹

Therefore, GCD of 345, 775, 865 is 5.

Given numbers are 345, 775, 865

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

Apply this formula for all numbers.

Step1:

LCM(345, 775) = 53475

GCD(345, 775) = ( 345 x 775 ) / 53475

= 345 / 775

= 345

Step2:

LCM(5, 865) = 865

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

= 5 / 865

= 5

So, Greatest Common Divisor of 345, 775, 865 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 496, 475
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Given numbers are 345, 775, 865
The greatest common divisor of numbers 345, 775, 865 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 775, 865 is 5.

1. What is the GCD of 345, 775, 865?

GCD of given numbers 345, 775, 865 is 5

2. How to calculate the greatest common divisor of 345, 775, 865?

We can find the highest common divisor of 345, 775, 865 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 345, 775, 865 i.e 5.

3. How can I use the GCD of 345, 775, 865Calculator?

Out the numbers 345, 775, 865 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.