GCD of 389, 965, 578, 114 Calculator

Given Input numbers are 389, 965, 578, 114

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 389, 965, 578, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 965, 578, 114 is 1.

Therefore, GCD of numbers 389, 965, 578, 114 is 1

Given Input Data is 389, 965, 578, 114

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 389 is 389

Prime Factorization of 965 is 5 x 193

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 114 is 2 x 3 x 19

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(389, 965) = 375385

GCD(389, 965) = ( 389 x 965 ) / 375385

GCD(389, 965) = 375385 / 375385

GCD(389, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 389, 965, 578, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 948, 688, 547
• GCD of 811, 759, 736, 763
• GCD of 574, 436, 841, 526
• GCD of 174, 824, 770, 472
• GCD of 902, 540, 441, 816

1. What is the GCD of 389, 965, 578, 114?

GCD of 389, 965, 578, 114 is 1

2. Where do I get the detailed procedure to find GCD of 389, 965, 578, 114?

You can find a detailed procedure to find GCD of 389, 965, 578, 114 on our page.

3. How to find GCD of 389, 965, 578, 114 on a calculator?

You can find the GCD of 389, 965, 578, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.