GCD of 342, 353, 70, 736 Calculator

Given Input numbers are 342, 353, 70, 736

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 342, 353, 70, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 353, 70, 736 is 1.

Therefore, GCD of numbers 342, 353, 70, 736 is 1

Given Input Data is 342, 353, 70, 736

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 353 is 353

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(342, 353) = 120726

GCD(342, 353) = ( 342 x 353 ) / 120726

GCD(342, 353) = 120726 / 120726

GCD(342, 353) = 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 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 342, 353, 70, 736 is 1

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1. What is the GCD of 342, 353, 70, 736?

GCD of 342, 353, 70, 736 is 1

2. Where do I get the detailed procedure to find GCD of 342, 353, 70, 736?

You can find a detailed procedure to find GCD of 342, 353, 70, 736 on our page.

3. How to find GCD of 342, 353, 70, 736 on a calculator?

You can find the GCD of 342, 353, 70, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.