GCD of 968, 580, 58, 147 Calculator

Given Input numbers are 968, 580, 58, 147

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 968, 580, 58, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 580, 58, 147 is 1.

Therefore, GCD of numbers 968, 580, 58, 147 is 1

Given Input Data is 968, 580, 58, 147

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 58 is 2 x 29

Prime Factorization of 147 is 3 x 7 x 7

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(968, 580) = 140360

GCD(968, 580) = ( 968 x 580 ) / 140360

GCD(968, 580) = 561440 / 140360

GCD(968, 580) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 968, 580, 58, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 431, 61, 532
• GCD of 929, 966, 54, 493
• GCD of 873, 891, 44, 978
• GCD of 714, 311, 58, 513
• GCD of 241, 892, 45, 754

1. What is the GCD of 968, 580, 58, 147?

GCD of 968, 580, 58, 147 is 1

2. Where do I get the detailed procedure to find GCD of 968, 580, 58, 147?

You can find a detailed procedure to find GCD of 968, 580, 58, 147 on our page.

3. How to find GCD of 968, 580, 58, 147 on a calculator?

You can find the GCD of 968, 580, 58, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.