GCD of 53, 302, 329, 354 Calculator

Given Input numbers are 53, 302, 329, 354

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 53, 302, 329, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 302, 329, 354 is 1.

Therefore, GCD of numbers 53, 302, 329, 354 is 1

Given Input Data is 53, 302, 329, 354

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

Prime Factorization of 53 is 53

Prime Factorization of 302 is 2 x 151

Prime Factorization of 329 is 7 x 47

Prime Factorization of 354 is 2 x 3 x 59

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(53, 302) = 16006

GCD(53, 302) = ( 53 x 302 ) / 16006

GCD(53, 302) = 16006 / 16006

GCD(53, 302) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 53, 302, 329, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 679, 931, 131
• GCD of 67, 685, 420, 945
• GCD of 89, 322, 170, 903
• GCD of 69, 829, 515, 169
• GCD of 42, 305, 355, 288

1. What is the GCD of 53, 302, 329, 354?

GCD of 53, 302, 329, 354 is 1

2. Where do I get the detailed procedure to find GCD of 53, 302, 329, 354?

You can find a detailed procedure to find GCD of 53, 302, 329, 354 on our page.

3. How to find GCD of 53, 302, 329, 354 on a calculator?

You can find the GCD of 53, 302, 329, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.