GCD of 121, 560, 198, 660 Calculator

Given Input numbers are 121, 560, 198, 660

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

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (121, 560, 198, 660) = 1.

Given numbers are 121, 560, 198, 660

The list of prime factors of all numbers are

Prime factors of 121 are 11 x 11

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 121, 560, 198, 660

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

Apply this formula for all numbers.

Step1:

LCM(121, 560) = 67760

GCD(121, 560) = ( 121 x 560 ) / 67760

= 121 / 560

= 121

Step2:

LCM(1, 198) = 198

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

= 1 / 198

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 121, 560, 198, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 172, 999, 398
• GCD of 576, 859, 470, 880
• GCD of 780, 209, 451, 613
• GCD of 977, 453, 889, 878
• GCD of 486, 192, 207, 623

Given numbers are 121, 560, 198, 660
The greatest common divisor of numbers 121, 560, 198, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 560, 198, 660 is 1.

1. What is the GCD of 121, 560, 198, 660?

GCD of given numbers 121, 560, 198, 660 is 1

2. How to calculate the greatest common divisor of 121, 560, 198, 660?

We can find the highest common divisor of 121, 560, 198, 660 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 121, 560, 198, 660 i.e 1.

3. How can I use the GCD of 121, 560, 198, 660Calculator?

Out the numbers 121, 560, 198, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.