GCD of 653, 460, 926, 164 Calculator

Given Input numbers are 653, 460, 926, 164

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 653, 460, 926, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 460, 926, 164 is 1.

Therefore, GCD of numbers 653, 460, 926, 164 is 1

Given Input Data is 653, 460, 926, 164

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

Prime Factorization of 653 is 653

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 926 is 2 x 463

Prime Factorization of 164 is 2 x 2 x 41

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(653, 460) = 300380

GCD(653, 460) = ( 653 x 460 ) / 300380

GCD(653, 460) = 300380 / 300380

GCD(653, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 926

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

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

GCD(1, 926) = 926 / 926

GCD(1, 926) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 653, 460, 926, 164 is 1

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1. What is the GCD of 653, 460, 926, 164?

GCD of 653, 460, 926, 164 is 1

2. Where do I get the detailed procedure to find GCD of 653, 460, 926, 164?

You can find a detailed procedure to find GCD of 653, 460, 926, 164 on our page.

3. How to find GCD of 653, 460, 926, 164 on a calculator?

You can find the GCD of 653, 460, 926, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.