GCD of 362, 916, 541, 343 Calculator

Given Input numbers are 362, 916, 541, 343

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 343

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

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 362, 916, 541, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 916, 541, 343 is 1.

Therefore, GCD of numbers 362, 916, 541, 343 is 1

Given Input Data is 362, 916, 541, 343

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 541 is 541

Prime Factorization of 343 is 7 x 7 x 7

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(362, 916) = 165796

GCD(362, 916) = ( 362 x 916 ) / 165796

GCD(362, 916) = 331592 / 165796

GCD(362, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 541

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

LCM(2, 541) = 1082

GCD(2, 541) = ( 2 x 541 ) / 1082

GCD(2, 541) = 1082 / 1082

GCD(2, 541) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 362, 916, 541, 343 is 1

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1. What is the GCD of 362, 916, 541, 343?

GCD of 362, 916, 541, 343 is 1

2. Where do I get the detailed procedure to find GCD of 362, 916, 541, 343?

You can find a detailed procedure to find GCD of 362, 916, 541, 343 on our page.

3. How to find GCD of 362, 916, 541, 343 on a calculator?

You can find the GCD of 362, 916, 541, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.