GCD of 690, 981, 24, 450 Calculator

Given Input numbers are 690, 981, 24, 450

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 690, 981, 24, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 981, 24, 450 is 3.

Therefore, GCD of numbers 690, 981, 24, 450 is 3

Given Input Data is 690, 981, 24, 450

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(690, 981) = 225630

GCD(690, 981) = ( 690 x 981 ) / 225630

GCD(690, 981) = 676890 / 225630

GCD(690, 981) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 450

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

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

GCD(3, 450) = 1350 / 450

GCD(3, 450) = 3

GCD of 690, 981, 24, 450 is 3

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• GCD of 413, 138, 53, 145
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• GCD of 907, 486, 22, 189

1. What is the GCD of 690, 981, 24, 450?

GCD of 690, 981, 24, 450 is 3

2. Where do I get the detailed procedure to find GCD of 690, 981, 24, 450?

You can find a detailed procedure to find GCD of 690, 981, 24, 450 on our page.

3. How to find GCD of 690, 981, 24, 450 on a calculator?

You can find the GCD of 690, 981, 24, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.