GCD of 152, 343, 21, 260 Calculator

Given Input numbers are 152, 343, 21, 260

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 152, 343, 21, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 343, 21, 260 is 1.

Therefore, GCD of numbers 152, 343, 21, 260 is 1

Given Input Data is 152, 343, 21, 260

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(152, 343) = 52136

GCD(152, 343) = ( 152 x 343 ) / 52136

GCD(152, 343) = 52136 / 52136

GCD(152, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 152, 343, 21, 260 is 1

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• GCD of 499, 388, 77, 415
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• GCD of 918, 780, 20, 919

1. What is the GCD of 152, 343, 21, 260?

GCD of 152, 343, 21, 260 is 1

2. Where do I get the detailed procedure to find GCD of 152, 343, 21, 260?

You can find a detailed procedure to find GCD of 152, 343, 21, 260 on our page.

3. How to find GCD of 152, 343, 21, 260 on a calculator?

You can find the GCD of 152, 343, 21, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.