GCD of 588, 147, 831, 945 Calculator

Given Input numbers are 588, 147, 831, 945

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 588, 147, 831, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 147, 831, 945 is 3.

Therefore, GCD of numbers 588, 147, 831, 945 is 3

Given Input Data is 588, 147, 831, 945

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 831 is 3 x 277

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(588, 147) = 588

GCD(588, 147) = ( 588 x 147 ) / 588

GCD(588, 147) = 86436 / 588

GCD(588, 147) = 147

Step2:

Here we consider the GCD from the above i.e. 147 as first number and the next as 831

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

LCM(147, 831) = 40719

GCD(147, 831) = ( 147 x 831 ) / 40719

GCD(147, 831) = 122157 / 40719

GCD(147, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 945

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

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

GCD(3, 945) = 2835 / 945

GCD(3, 945) = 3

GCD of 588, 147, 831, 945 is 3

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1. What is the GCD of 588, 147, 831, 945?

GCD of 588, 147, 831, 945 is 3

2. Where do I get the detailed procedure to find GCD of 588, 147, 831, 945?

You can find a detailed procedure to find GCD of 588, 147, 831, 945 on our page.

3. How to find GCD of 588, 147, 831, 945 on a calculator?

You can find the GCD of 588, 147, 831, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.