GCD of 969, 150, 103, 580 Calculator

Given Input numbers are 969, 150, 103, 580

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

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

Greatest Common Divisior

We found the divisors of 969, 150, 103, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 150, 103, 580 is 1.

Therefore, GCD of numbers 969, 150, 103, 580 is 1

Given Input Data is 969, 150, 103, 580

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 103 is 103

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

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(969, 150) = 48450

GCD(969, 150) = ( 969 x 150 ) / 48450

GCD(969, 150) = 145350 / 48450

GCD(969, 150) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 103

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

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

GCD(3, 103) = 309 / 309

GCD(3, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 969, 150, 103, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 445, 386, 546
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• GCD of 174, 732, 205, 291
• GCD of 613, 568, 251, 504
• GCD of 354, 618, 211, 888

1. What is the GCD of 969, 150, 103, 580?

GCD of 969, 150, 103, 580 is 1

2. Where do I get the detailed procedure to find GCD of 969, 150, 103, 580?

You can find a detailed procedure to find GCD of 969, 150, 103, 580 on our page.

3. How to find GCD of 969, 150, 103, 580 on a calculator?

You can find the GCD of 969, 150, 103, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.