GCD of 195, 364, 741 Calculator

Given Input numbers are 195, 364, 741

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (195, 364, 741) = 13.

Given numbers are 195, 364, 741

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 13¹

Therefore, GCD of 195, 364, 741 is 13.

Given numbers are 195, 364, 741

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

Apply this formula for all numbers.

Step1:

LCM(195, 364) = 5460

GCD(195, 364) = ( 195 x 364 ) / 5460

= 195 / 364

= 195

Step2:

LCM(13, 741) = 741

GCD(13, 741) = ( 13 x 741 ) / 741

= 13 / 741

= 13

So, Greatest Common Divisor of 195, 364, 741 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 632, 552
• GCD of 164, 401, 872
• GCD of 355, 788, 331
• GCD of 218, 836, 413
• GCD of 831, 219, 250

Given numbers are 195, 364, 741
The greatest common divisor of numbers 195, 364, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 364, 741 is 13.

1. What is the GCD of 195, 364, 741?

GCD of given numbers 195, 364, 741 is 13

2. How to calculate the greatest common divisor of 195, 364, 741?

We can find the highest common divisor of 195, 364, 741 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, 364, 741 i.e 13.

3. How can I use the GCD of 195, 364, 741Calculator?

Out the numbers 195, 364, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.