GCD of 949, 290, 17, 198 Calculator

Given Input numbers are 949, 290, 17, 198

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (949, 290, 17, 198) = 1.

Given numbers are 949, 290, 17, 198

The list of prime factors of all numbers are

Prime factors of 949 are 13 x 73

Prime factors of 290 are 2 x 5 x 29

Prime factors of 17 are 17

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 949, 290, 17, 198

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

Apply this formula for all numbers.

Step1:

LCM(949, 290) = 275210

GCD(949, 290) = ( 949 x 290 ) / 275210

= 949 / 290

= 949

Step2:

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

= 1 / 17

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 949, 290, 17, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 306, 38, 939
• GCD of 662, 709, 75, 433
• GCD of 399, 606, 98, 404
• GCD of 480, 954, 19, 214
• GCD of 770, 643, 73, 123

Given numbers are 949, 290, 17, 198
The greatest common divisor of numbers 949, 290, 17, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 949, 290, 17, 198 is 1.

1. What is the GCD of 949, 290, 17, 198?

GCD of given numbers 949, 290, 17, 198 is 1

2. How to calculate the greatest common divisor of 949, 290, 17, 198?

We can find the highest common divisor of 949, 290, 17, 198 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 949, 290, 17, 198 i.e 1.

3. How can I use the GCD of 949, 290, 17, 198Calculator?

Out the numbers 949, 290, 17, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.