GCD of 795, 543, 363, 195 Calculator

Given Input numbers are 795, 543, 363, 195

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 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 195 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (795, 543, 363, 195) = 3.

Given numbers are 795, 543, 363, 195

The list of prime factors of all numbers are

Prime factors of 795 are 3 x 5 x 53

Prime factors of 543 are 3 x 181

Prime factors of 363 are 3 x 11 x 11

Prime factors of 195 are 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 795, 543, 363, 195 is 3.

Given numbers are 795, 543, 363, 195

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

Apply this formula for all numbers.

Step1:

LCM(795, 543) = 143895

GCD(795, 543) = ( 795 x 543 ) / 143895

= 795 / 543

= 795

Step2:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

Step3:

LCM(3, 195) = 195

GCD(3, 195) = ( 3 x 195 ) / 195

= 3 / 195

= 3

So, Greatest Common Divisor of 795, 543, 363, 195 is 3

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Given numbers are 795, 543, 363, 195
The greatest common divisor of numbers 795, 543, 363, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 795, 543, 363, 195 is 3.

1. What is the GCD of 795, 543, 363, 195?

GCD of given numbers 795, 543, 363, 195 is 3

2. How to calculate the greatest common divisor of 795, 543, 363, 195?

We can find the highest common divisor of 795, 543, 363, 195 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, 543, 363, 195 i.e 3.

3. How can I use the GCD of 795, 543, 363, 195Calculator?

Out the numbers 795, 543, 363, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.