GCD of 489, 310, 221, 975 Calculator

Given Input numbers are 489, 310, 221, 975

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 310 :

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

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 310, 221, 975) = 1.

Given numbers are 489, 310, 221, 975

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 310 are 2 x 5 x 31

Prime factors of 221 are 13 x 17

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

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

Given numbers are 489, 310, 221, 975

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

Apply this formula for all numbers.

Step1:

LCM(489, 310) = 151590

GCD(489, 310) = ( 489 x 310 ) / 151590

= 489 / 310

= 489

Step2:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 489, 310, 221, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 307, 341, 881
• GCD of 818, 809, 866, 707
• GCD of 290, 698, 918, 142
• GCD of 433, 296, 523, 873
• GCD of 451, 290, 865, 982

Given numbers are 489, 310, 221, 975
The greatest common divisor of numbers 489, 310, 221, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 310, 221, 975 is 1.

1. What is the GCD of 489, 310, 221, 975?

GCD of given numbers 489, 310, 221, 975 is 1

2. How to calculate the greatest common divisor of 489, 310, 221, 975?

We can find the highest common divisor of 489, 310, 221, 975 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, 310, 221, 975 i.e 1.

3. How can I use the GCD of 489, 310, 221, 975Calculator?

Out the numbers 489, 310, 221, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.