GCD of 132, 998, 993, 289 Calculator

Given Input numbers are 132, 998, 993, 289

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (132, 998, 993, 289) = 1.

Given numbers are 132, 998, 993, 289

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 998 are 2 x 499

Prime factors of 993 are 3 x 331

Prime factors of 289 are 17 x 17

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

Given numbers are 132, 998, 993, 289

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

Apply this formula for all numbers.

Step1:

LCM(132, 998) = 65868

GCD(132, 998) = ( 132 x 998 ) / 65868

= 132 / 998

= 132

Step2:

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

= 2 / 993

= 2

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 132, 998, 993, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 681, 502, 837
• GCD of 921, 763, 849, 364
• GCD of 581, 573, 486, 972
• GCD of 255, 282, 341, 615
• GCD of 708, 179, 787, 586

Given numbers are 132, 998, 993, 289
The greatest common divisor of numbers 132, 998, 993, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 998, 993, 289 is 1.

1. What is the GCD of 132, 998, 993, 289?

GCD of given numbers 132, 998, 993, 289 is 1

2. How to calculate the greatest common divisor of 132, 998, 993, 289?

We can find the highest common divisor of 132, 998, 993, 289 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 132, 998, 993, 289 i.e 1.

3. How can I use the GCD of 132, 998, 993, 289Calculator?

Out the numbers 132, 998, 993, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.