GCD of 648, 891, 292, 167 Calculator

Given Input numbers are 648, 891, 292, 167

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 648, 891, 292, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 891, 292, 167 is 1.

Therefore, GCD of numbers 648, 891, 292, 167 is 1

Given Input Data is 648, 891, 292, 167

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 167 is 167

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(648, 891) = 7128

GCD(648, 891) = ( 648 x 891 ) / 7128

GCD(648, 891) = 577368 / 7128

GCD(648, 891) = 81

Step2:

Here we consider the GCD from the above i.e. 81 as first number and the next as 292

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

LCM(81, 292) = 23652

GCD(81, 292) = ( 81 x 292 ) / 23652

GCD(81, 292) = 23652 / 23652

GCD(81, 292) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1

GCD of 648, 891, 292, 167 is 1

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1. What is the GCD of 648, 891, 292, 167?

GCD of 648, 891, 292, 167 is 1

2. Where do I get the detailed procedure to find GCD of 648, 891, 292, 167?

You can find a detailed procedure to find GCD of 648, 891, 292, 167 on our page.

3. How to find GCD of 648, 891, 292, 167 on a calculator?

You can find the GCD of 648, 891, 292, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.