GCD of 654, 192, 64, 766 Calculator

Given Input numbers are 654, 192, 64, 766

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 654, 192, 64, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 192, 64, 766 is 2.

Therefore, GCD of numbers 654, 192, 64, 766 is 2

Given Input Data is 654, 192, 64, 766

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 766 is 2 x 383

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(654, 192) = 20928

GCD(654, 192) = ( 654 x 192 ) / 20928

GCD(654, 192) = 125568 / 20928

GCD(654, 192) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 64

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

LCM(6, 64) = 192

GCD(6, 64) = ( 6 x 64 ) / 192

GCD(6, 64) = 384 / 192

GCD(6, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

GCD of 654, 192, 64, 766 is 2

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1. What is the GCD of 654, 192, 64, 766?

GCD of 654, 192, 64, 766 is 2

2. Where do I get the detailed procedure to find GCD of 654, 192, 64, 766?

You can find a detailed procedure to find GCD of 654, 192, 64, 766 on our page.

3. How to find GCD of 654, 192, 64, 766 on a calculator?

You can find the GCD of 654, 192, 64, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.