GCD of 654, 166, 901, 962 Calculator

Given Input numbers are 654, 166, 901, 962

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 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 654, 166, 901, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 166, 901, 962 is 1.

Therefore, GCD of numbers 654, 166, 901, 962 is 1

Given Input Data is 654, 166, 901, 962

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 166 is 2 x 83

Prime Factorization of 901 is 17 x 53

Prime Factorization of 962 is 2 x 13 x 37

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(654, 166) = 54282

GCD(654, 166) = ( 654 x 166 ) / 54282

GCD(654, 166) = 108564 / 54282

GCD(654, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 654, 166, 901, 962 is 1

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1. What is the GCD of 654, 166, 901, 962?

GCD of 654, 166, 901, 962 is 1

2. Where do I get the detailed procedure to find GCD of 654, 166, 901, 962?

You can find a detailed procedure to find GCD of 654, 166, 901, 962 on our page.

3. How to find GCD of 654, 166, 901, 962 on a calculator?

You can find the GCD of 654, 166, 901, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.