GCD of 117, 900, 489, 121 Calculator

Given Input numbers are 117, 900, 489, 121

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 121 :

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

1, 11, 121

GCD of numbers is the greatest common divisor

So, the GCD (117, 900, 489, 121) = 1.

Given numbers are 117, 900, 489, 121

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 489 are 3 x 163

Prime factors of 121 are 11 x 11

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

Given numbers are 117, 900, 489, 121

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

Apply this formula for all numbers.

Step1:

LCM(117, 900) = 11700

GCD(117, 900) = ( 117 x 900 ) / 11700

= 117 / 900

= 117

Step2:

LCM(9, 489) = 1467

GCD(9, 489) = ( 9 x 489 ) / 1467

= 9 / 489

= 9

Step3:

LCM(3, 121) = 363

GCD(3, 121) = ( 3 x 121 ) / 363

= 3 / 121

= 3

So, Greatest Common Divisor of 117, 900, 489, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 504, 414, 384
• GCD of 227, 344, 414, 923
• GCD of 748, 898, 714, 745
• GCD of 307, 390, 442, 454
• GCD of 782, 488, 103, 232

Given numbers are 117, 900, 489, 121
The greatest common divisor of numbers 117, 900, 489, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 900, 489, 121 is 1.

1. What is the GCD of 117, 900, 489, 121?

GCD of given numbers 117, 900, 489, 121 is 1

2. How to calculate the greatest common divisor of 117, 900, 489, 121?

We can find the highest common divisor of 117, 900, 489, 121 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 117, 900, 489, 121 i.e 1.

3. How can I use the GCD of 117, 900, 489, 121Calculator?

Out the numbers 117, 900, 489, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.