GCD of 71, 351, 346, 475 Calculator

Given Input numbers are 71, 351, 346, 475

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 71, 351, 346, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 351, 346, 475 is 1.

Therefore, GCD of numbers 71, 351, 346, 475 is 1

Given Input Data is 71, 351, 346, 475

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

Prime Factorization of 71 is 71

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 346 is 2 x 173

Prime Factorization of 475 is 5 x 5 x 19

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(71, 351) = 24921

GCD(71, 351) = ( 71 x 351 ) / 24921

GCD(71, 351) = 24921 / 24921

GCD(71, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 71, 351, 346, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 763, 141, 662
• GCD of 32, 313, 587, 798
• GCD of 88, 759, 666, 923
• GCD of 79, 487, 426, 145
• GCD of 29, 487, 968, 491

1. What is the GCD of 71, 351, 346, 475?

GCD of 71, 351, 346, 475 is 1

2. Where do I get the detailed procedure to find GCD of 71, 351, 346, 475?

You can find a detailed procedure to find GCD of 71, 351, 346, 475 on our page.

3. How to find GCD of 71, 351, 346, 475 on a calculator?

You can find the GCD of 71, 351, 346, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.