GCD of 195, 438, 402, 378 Calculator

Given Input numbers are 195, 438, 402, 378

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (195, 438, 402, 378) = 3.

Given numbers are 195, 438, 402, 378

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 402 are 2 x 3 x 67

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 195, 438, 402, 378 is 3.

Given numbers are 195, 438, 402, 378

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

Apply this formula for all numbers.

Step1:

LCM(195, 438) = 28470

GCD(195, 438) = ( 195 x 438 ) / 28470

= 195 / 438

= 195

Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

Step3:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 195, 438, 402, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 912, 544, 700
• GCD of 276, 254, 351, 943
• GCD of 550, 479, 557, 300
• GCD of 670, 201, 244, 814
• GCD of 342, 184, 367, 527

Given numbers are 195, 438, 402, 378
The greatest common divisor of numbers 195, 438, 402, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 438, 402, 378 is 3.

1. What is the GCD of 195, 438, 402, 378?

GCD of given numbers 195, 438, 402, 378 is 3

2. How to calculate the greatest common divisor of 195, 438, 402, 378?

We can find the highest common divisor of 195, 438, 402, 378 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, 438, 402, 378 i.e 3.

3. How can I use the GCD of 195, 438, 402, 378Calculator?

Out the numbers 195, 438, 402, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.