GCD of 642, 453, 768, 984 Calculator

Given Input numbers are 642, 453, 768, 984

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 642, 453, 768, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 453, 768, 984 is 3.

Therefore, GCD of numbers 642, 453, 768, 984 is 3

Given Input Data is 642, 453, 768, 984

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 453 is 3 x 151

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(642, 453) = 96942

GCD(642, 453) = ( 642 x 453 ) / 96942

GCD(642, 453) = 290826 / 96942

GCD(642, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 768

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

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

GCD(3, 768) = 2304 / 768

GCD(3, 768) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 984

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

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

GCD(3, 984) = 2952 / 984

GCD(3, 984) = 3

GCD of 642, 453, 768, 984 is 3

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1. What is the GCD of 642, 453, 768, 984?

GCD of 642, 453, 768, 984 is 3

2. Where do I get the detailed procedure to find GCD of 642, 453, 768, 984?

You can find a detailed procedure to find GCD of 642, 453, 768, 984 on our page.

3. How to find GCD of 642, 453, 768, 984 on a calculator?

You can find the GCD of 642, 453, 768, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.