GCD of 985, 585, 714, 982 Calculator

Given Input numbers are 985, 585, 714, 982

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

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (985, 585, 714, 982) = 1.

Given numbers are 985, 585, 714, 982

The list of prime factors of all numbers are

Prime factors of 985 are 5 x 197

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 982 are 2 x 491

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

Given numbers are 985, 585, 714, 982

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

Apply this formula for all numbers.

Step1:

LCM(985, 585) = 115245

GCD(985, 585) = ( 985 x 585 ) / 115245

= 985 / 585

= 985

Step2:

LCM(5, 714) = 3570

GCD(5, 714) = ( 5 x 714 ) / 3570

= 5 / 714

= 5

Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

So, Greatest Common Divisor of 985, 585, 714, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 230, 601, 305
• GCD of 743, 102, 916, 486
• GCD of 871, 574, 811, 813
• GCD of 111, 762, 117, 981
• GCD of 488, 246, 193, 202

Given numbers are 985, 585, 714, 982
The greatest common divisor of numbers 985, 585, 714, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 585, 714, 982 is 1.

1. What is the GCD of 985, 585, 714, 982?

GCD of given numbers 985, 585, 714, 982 is 1

2. How to calculate the greatest common divisor of 985, 585, 714, 982?

We can find the highest common divisor of 985, 585, 714, 982 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 985, 585, 714, 982 i.e 1.

3. How can I use the GCD of 985, 585, 714, 982Calculator?

Out the numbers 985, 585, 714, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.