GCD of 289, 310, 655, 989 Calculator

Given Input numbers are 289, 310, 655, 989

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

Divisors of 289 :

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

1, 17, 289

Divisors of 310 :

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

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (289, 310, 655, 989) = 1.

Given numbers are 289, 310, 655, 989

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 310 are 2 x 5 x 31

Prime factors of 655 are 5 x 131

Prime factors of 989 are 23 x 43

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

Given numbers are 289, 310, 655, 989

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

Apply this formula for all numbers.

Step1:

LCM(289, 310) = 89590

GCD(289, 310) = ( 289 x 310 ) / 89590

= 289 / 310

= 289

Step2:

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

= 1 / 655

= 1

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 289, 310, 655, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 352, 273, 221
• GCD of 487, 919, 872, 131
• GCD of 730, 130, 237, 680
• GCD of 883, 462, 493, 203
• GCD of 866, 800, 258, 114

Given numbers are 289, 310, 655, 989
The greatest common divisor of numbers 289, 310, 655, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 310, 655, 989 is 1.

1. What is the GCD of 289, 310, 655, 989?

GCD of given numbers 289, 310, 655, 989 is 1

2. How to calculate the greatest common divisor of 289, 310, 655, 989?

We can find the highest common divisor of 289, 310, 655, 989 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 289, 310, 655, 989 i.e 1.

3. How can I use the GCD of 289, 310, 655, 989Calculator?

Out the numbers 289, 310, 655, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.