GCD of 301, 345, 70, 438 Calculator

Given Input numbers are 301, 345, 70, 438

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 301, 345, 70, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 345, 70, 438 is 1.

Therefore, GCD of numbers 301, 345, 70, 438 is 1

Given Input Data is 301, 345, 70, 438

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 438 is 2 x 3 x 73

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(301, 345) = 103845

GCD(301, 345) = ( 301 x 345 ) / 103845

GCD(301, 345) = 103845 / 103845

GCD(301, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 301, 345, 70, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 841, 13, 297
• GCD of 999, 479, 24, 296
• GCD of 379, 777, 94, 795
• GCD of 775, 493, 30, 553
• GCD of 499, 210, 32, 866

1. What is the GCD of 301, 345, 70, 438?

GCD of 301, 345, 70, 438 is 1

2. Where do I get the detailed procedure to find GCD of 301, 345, 70, 438?

You can find a detailed procedure to find GCD of 301, 345, 70, 438 on our page.

3. How to find GCD of 301, 345, 70, 438 on a calculator?

You can find the GCD of 301, 345, 70, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.