GCD of 489, 918, 975, 115 Calculator

Given Input numbers are 489, 918, 975, 115

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

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

GCD of numbers is the greatest common divisor

So, the GCD (489, 918, 975, 115) = 1.

Given numbers are 489, 918, 975, 115

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 115 are 5 x 23

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

Given numbers are 489, 918, 975, 115

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

Apply this formula for all numbers.

Step1:

LCM(489, 918) = 149634

GCD(489, 918) = ( 489 x 918 ) / 149634

= 489 / 918

= 489

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

Step3:

LCM(3, 115) = 345

GCD(3, 115) = ( 3 x 115 ) / 345

= 3 / 115

= 3

So, Greatest Common Divisor of 489, 918, 975, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 481, 846, 351
• GCD of 864, 157, 892, 694
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• GCD of 100, 643, 616, 660
• GCD of 674, 973, 990, 897

Given numbers are 489, 918, 975, 115
The greatest common divisor of numbers 489, 918, 975, 115 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 918, 975, 115 is 1.

1. What is the GCD of 489, 918, 975, 115?

GCD of given numbers 489, 918, 975, 115 is 1

2. How to calculate the greatest common divisor of 489, 918, 975, 115?

We can find the highest common divisor of 489, 918, 975, 115 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 489, 918, 975, 115 i.e 1.

3. How can I use the GCD of 489, 918, 975, 115Calculator?

Out the numbers 489, 918, 975, 115 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.