GCD of 195, 765, 870, 765 Calculator

Given Input numbers are 195, 765, 870, 765

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (195, 765, 870, 765) = 15.

Given numbers are 195, 765, 870, 765

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 765 are 3 x 3 x 5 x 17

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 195, 765, 870, 765 is 15.

Given numbers are 195, 765, 870, 765

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

Apply this formula for all numbers.

Step1:

LCM(195, 765) = 9945

GCD(195, 765) = ( 195 x 765 ) / 9945

= 195 / 765

= 195

Step2:

LCM(15, 870) = 870

GCD(15, 870) = ( 15 x 870 ) / 870

= 15 / 870

= 15

Step3:

LCM(15, 765) = 765

GCD(15, 765) = ( 15 x 765 ) / 765

= 15 / 765

= 15

So, Greatest Common Divisor of 195, 765, 870, 765 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 744, 585, 462
• GCD of 859, 205, 104, 848
• GCD of 100, 106, 765, 226
• GCD of 475, 287, 256, 327
• GCD of 434, 601, 695, 713

Given numbers are 195, 765, 870, 765
The greatest common divisor of numbers 195, 765, 870, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 765, 870, 765 is 15.

1. What is the GCD of 195, 765, 870, 765?

GCD of given numbers 195, 765, 870, 765 is 15

2. How to calculate the greatest common divisor of 195, 765, 870, 765?

We can find the highest common divisor of 195, 765, 870, 765 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 195, 765, 870, 765 i.e 15.

3. How can I use the GCD of 195, 765, 870, 765Calculator?

Out the numbers 195, 765, 870, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.