GCD of 356, 305, 134, 141 Calculator

Given Input numbers are 356, 305, 134, 141

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 356, 305, 134, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 305, 134, 141 is 1.

Therefore, GCD of numbers 356, 305, 134, 141 is 1

Given Input Data is 356, 305, 134, 141

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 305 is 5 x 61

Prime Factorization of 134 is 2 x 67

Prime Factorization of 141 is 3 x 47

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(356, 305) = 108580

GCD(356, 305) = ( 356 x 305 ) / 108580

GCD(356, 305) = 108580 / 108580

GCD(356, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 356, 305, 134, 141 is 1

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1. What is the GCD of 356, 305, 134, 141?

GCD of 356, 305, 134, 141 is 1

2. Where do I get the detailed procedure to find GCD of 356, 305, 134, 141?

You can find a detailed procedure to find GCD of 356, 305, 134, 141 on our page.

3. How to find GCD of 356, 305, 134, 141 on a calculator?

You can find the GCD of 356, 305, 134, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.