GCD of 196, 690, 990, 361 Calculator

Given Input numbers are 196, 690, 990, 361

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (196, 690, 990, 361) = 1.

Given numbers are 196, 690, 990, 361

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 361 are 19 x 19

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

Given numbers are 196, 690, 990, 361

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

Apply this formula for all numbers.

Step1:

LCM(196, 690) = 67620

GCD(196, 690) = ( 196 x 690 ) / 67620

= 196 / 690

= 196

Step2:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

Step3:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2

So, Greatest Common Divisor of 196, 690, 990, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 346, 936, 542
• GCD of 299, 713, 324, 328
• GCD of 332, 295, 168, 350
• GCD of 230, 645, 612, 363
• GCD of 606, 910, 778, 801

Given numbers are 196, 690, 990, 361
The greatest common divisor of numbers 196, 690, 990, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 690, 990, 361 is 1.

1. What is the GCD of 196, 690, 990, 361?

GCD of given numbers 196, 690, 990, 361 is 1

2. How to calculate the greatest common divisor of 196, 690, 990, 361?

We can find the highest common divisor of 196, 690, 990, 361 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 196, 690, 990, 361 i.e 1.

3. How can I use the GCD of 196, 690, 990, 361Calculator?

Out the numbers 196, 690, 990, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.