GCD of 10, 578, 783, 147 Calculator

Given Input numbers are 10, 578, 783, 147

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

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 10, 578, 783, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 578, 783, 147 is 1.

Therefore, GCD of numbers 10, 578, 783, 147 is 1

Given Input Data is 10, 578, 783, 147

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 783 is 3 x 3 x 3 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(10, 578) = 2890

GCD(10, 578) = ( 10 x 578 ) / 2890

GCD(10, 578) = 5780 / 2890

GCD(10, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 783

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

LCM(2, 783) = 1566

GCD(2, 783) = ( 2 x 783 ) / 1566

GCD(2, 783) = 1566 / 1566

GCD(2, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 10, 578, 783, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 189, 604, 590
• GCD of 99, 841, 190, 834
• GCD of 65, 508, 220, 347
• GCD of 15, 509, 633, 346
• GCD of 34, 509, 986, 661

1. What is the GCD of 10, 578, 783, 147?

GCD of 10, 578, 783, 147 is 1

2. Where do I get the detailed procedure to find GCD of 10, 578, 783, 147?

You can find a detailed procedure to find GCD of 10, 578, 783, 147 on our page.

3. How to find GCD of 10, 578, 783, 147 on a calculator?

You can find the GCD of 10, 578, 783, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.