GCD of 795, 340, 960, 225 Calculator

Given Input numbers are 795, 340, 960, 225

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

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (795, 340, 960, 225) = 5.

Given numbers are 795, 340, 960, 225

The list of prime factors of all numbers are

Prime factors of 795 are 3 x 5 x 53

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 795, 340, 960, 225 is 5.

Given numbers are 795, 340, 960, 225

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

Apply this formula for all numbers.

Step1:

LCM(795, 340) = 54060

GCD(795, 340) = ( 795 x 340 ) / 54060

= 795 / 340

= 795

Step2:

LCM(5, 960) = 960

GCD(5, 960) = ( 5 x 960 ) / 960

= 5 / 960

= 5

Step3:

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

= 5 / 225

= 5

So, Greatest Common Divisor of 795, 340, 960, 225 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 712, 175, 415
• GCD of 381, 799, 324, 146
• GCD of 203, 380, 407, 755
• GCD of 350, 330, 827, 228
• GCD of 863, 916, 307, 432

Given numbers are 795, 340, 960, 225
The greatest common divisor of numbers 795, 340, 960, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 795, 340, 960, 225 is 5.

1. What is the GCD of 795, 340, 960, 225?

GCD of given numbers 795, 340, 960, 225 is 5

2. How to calculate the greatest common divisor of 795, 340, 960, 225?

We can find the highest common divisor of 795, 340, 960, 225 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 795, 340, 960, 225 i.e 5.

3. How can I use the GCD of 795, 340, 960, 225Calculator?

Out the numbers 795, 340, 960, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.