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GCD of 390, 140, 982, 589 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 390, 140, 982, 589 quickly. Get the easiest ways to solve the greatest common divisor of 390, 140, 982, 589 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 390, 140, 982, 589 with Factoring?

Given Input numbers are 390, 140, 982, 589

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 982 :

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

1, 2, 491, 982

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589


GCD of numbers is the greatest common divisor

So, the GCD (390, 140, 982, 589) = 1.

Find GCD of 390, 140, 982, 589 using Prime Factorization

Given numbers are 390, 140, 982, 589

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 982 are 2 x 491

Prime factors of 589 are 19 x 31

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

Steps to Calculate GCD of 390, 140, 982, 589 using LCM Formula

Given numbers are 390, 140, 982, 589

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

Apply this formula for all numbers.

Step1:

LCM(390, 140) = 5460

GCD(390, 140) = ( 390 x 140 ) / 5460

= 390 / 140

= 390


Step2:

LCM(10, 982) = 4910

GCD(10, 982) = ( 10 x 982 ) / 4910

= 10 / 982

= 10


Step3:

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

= 2 / 589

= 2


So, Greatest Common Divisor of 390, 140, 982, 589 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 390, 140, 982, 589

Given numbers are 390, 140, 982, 589
The greatest common divisor of numbers 390, 140, 982, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 140, 982, 589 is 1.

FAQs on GCD of 390, 140, 982, 589 Calculator

1. What is the GCD of 390, 140, 982, 589?

GCD of given numbers 390, 140, 982, 589 is 1


2. How to calculate the greatest common divisor of 390, 140, 982, 589?

We can find the highest common divisor of 390, 140, 982, 589 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 390, 140, 982, 589 i.e 1.


3. How can I use the GCD of 390, 140, 982, 589Calculator?

Out the numbers 390, 140, 982, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.