GCD of 195, 324, 342, 698 Calculator

Given Input numbers are 195, 324, 342, 698

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 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (195, 324, 342, 698) = 1.

Given numbers are 195, 324, 342, 698

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 698 are 2 x 349

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 195, 324, 342, 698

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

Apply this formula for all numbers.

Step1:

LCM(195, 324) = 21060

GCD(195, 324) = ( 195 x 324 ) / 21060

= 195 / 324

= 195

Step2:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

Step3:

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

= 3 / 698

= 3

So, Greatest Common Divisor of 195, 324, 342, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 768, 958, 820
• GCD of 805, 196, 548, 941
• GCD of 129, 344, 266, 432
• GCD of 631, 806, 296, 934
• GCD of 304, 852, 113, 563

Given numbers are 195, 324, 342, 698
The greatest common divisor of numbers 195, 324, 342, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 324, 342, 698 is 1.

1. What is the GCD of 195, 324, 342, 698?

GCD of given numbers 195, 324, 342, 698 is 1

2. How to calculate the greatest common divisor of 195, 324, 342, 698?

We can find the highest common divisor of 195, 324, 342, 698 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, 324, 342, 698 i.e 1.

3. How can I use the GCD of 195, 324, 342, 698Calculator?

Out the numbers 195, 324, 342, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.