GCD of 961, 654, 198, 180 Calculator

Given Input numbers are 961, 654, 198, 180

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (961, 654, 198, 180) = 1.

Given numbers are 961, 654, 198, 180

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 654 are 2 x 3 x 109

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 961, 654, 198, 180

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

Apply this formula for all numbers.

Step1:

LCM(961, 654) = 628494

GCD(961, 654) = ( 961 x 654 ) / 628494

= 961 / 654

= 961

Step2:

LCM(1, 198) = 198

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

= 1 / 198

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 961, 654, 198, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 247, 766, 898
• GCD of 792, 225, 839, 970
• GCD of 568, 261, 746, 333
• GCD of 993, 470, 408, 301
• GCD of 912, 714, 680, 680

Given numbers are 961, 654, 198, 180
The greatest common divisor of numbers 961, 654, 198, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 654, 198, 180 is 1.

1. What is the GCD of 961, 654, 198, 180?

GCD of given numbers 961, 654, 198, 180 is 1

2. How to calculate the greatest common divisor of 961, 654, 198, 180?

We can find the highest common divisor of 961, 654, 198, 180 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 961, 654, 198, 180 i.e 1.

3. How can I use the GCD of 961, 654, 198, 180Calculator?

Out the numbers 961, 654, 198, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.