GCD of 52, 614, 153, 895 Calculator

Given Input numbers are 52, 614, 153, 895

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 52, 614, 153, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 614, 153, 895 is 1.

Therefore, GCD of numbers 52, 614, 153, 895 is 1

Given Input Data is 52, 614, 153, 895

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 614 is 2 x 307

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 895 is 5 x 179

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(52, 614) = 15964

GCD(52, 614) = ( 52 x 614 ) / 15964

GCD(52, 614) = 31928 / 15964

GCD(52, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 52, 614, 153, 895 is 1

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1. What is the GCD of 52, 614, 153, 895?

GCD of 52, 614, 153, 895 is 1

2. Where do I get the detailed procedure to find GCD of 52, 614, 153, 895?

You can find a detailed procedure to find GCD of 52, 614, 153, 895 on our page.

3. How to find GCD of 52, 614, 153, 895 on a calculator?

You can find the GCD of 52, 614, 153, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.