GCD of 489, 116, 976, 310 Calculator

Given Input numbers are 489, 116, 976, 310

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (489, 116, 976, 310) = 1.

Given numbers are 489, 116, 976, 310

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 116 are 2 x 2 x 29

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 489, 116, 976, 310

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

Apply this formula for all numbers.

Step1:

LCM(489, 116) = 56724

GCD(489, 116) = ( 489 x 116 ) / 56724

= 489 / 116

= 489

Step2:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

Step3:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

So, Greatest Common Divisor of 489, 116, 976, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 969, 393, 552
• GCD of 343, 501, 464, 816
• GCD of 951, 822, 943, 670
• GCD of 583, 805, 927, 846
• GCD of 599, 633, 610, 739

Given numbers are 489, 116, 976, 310
The greatest common divisor of numbers 489, 116, 976, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 116, 976, 310 is 1.

1. What is the GCD of 489, 116, 976, 310?

GCD of given numbers 489, 116, 976, 310 is 1

2. How to calculate the greatest common divisor of 489, 116, 976, 310?

We can find the highest common divisor of 489, 116, 976, 310 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, 116, 976, 310 i.e 1.

3. How can I use the GCD of 489, 116, 976, 310Calculator?

Out the numbers 489, 116, 976, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.