GCD of 470, 652, 348, 153 Calculator

Given Input numbers are 470, 652, 348, 153

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 153

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

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 470, 652, 348, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 652, 348, 153 is 1.

Therefore, GCD of numbers 470, 652, 348, 153 is 1

Given Input Data is 470, 652, 348, 153

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 153 is 3 x 3 x 17

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(470, 652) = 153220

GCD(470, 652) = ( 470 x 652 ) / 153220

GCD(470, 652) = 306440 / 153220

GCD(470, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

Step3:

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

GCD of 470, 652, 348, 153 is 1

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1. What is the GCD of 470, 652, 348, 153?

GCD of 470, 652, 348, 153 is 1

2. Where do I get the detailed procedure to find GCD of 470, 652, 348, 153?

You can find a detailed procedure to find GCD of 470, 652, 348, 153 on our page.

3. How to find GCD of 470, 652, 348, 153 on a calculator?

You can find the GCD of 470, 652, 348, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.