GCD of 147, 983, 306, 708 Calculator

Given Input numbers are 147, 983, 306, 708

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

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 147, 983, 306, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 983, 306, 708 is 1.

Therefore, GCD of numbers 147, 983, 306, 708 is 1

Given Input Data is 147, 983, 306, 708

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 983 is 983

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(147, 983) = 144501

GCD(147, 983) = ( 147 x 983 ) / 144501

GCD(147, 983) = 144501 / 144501

GCD(147, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 147, 983, 306, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 938, 172, 248
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• GCD of 495, 704, 854, 203
• GCD of 181, 918, 308, 638
• GCD of 233, 851, 775, 959

1. What is the GCD of 147, 983, 306, 708?

GCD of 147, 983, 306, 708 is 1

2. Where do I get the detailed procedure to find GCD of 147, 983, 306, 708?

You can find a detailed procedure to find GCD of 147, 983, 306, 708 on our page.

3. How to find GCD of 147, 983, 306, 708 on a calculator?

You can find the GCD of 147, 983, 306, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.