GCD of 226, 236, 737, 141 Calculator

Given Input numbers are 226, 236, 737, 141

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

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 226, 236, 737, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 236, 737, 141 is 1.

Therefore, GCD of numbers 226, 236, 737, 141 is 1

Given Input Data is 226, 236, 737, 141

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 737 is 11 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(226, 236) = 26668

GCD(226, 236) = ( 226 x 236 ) / 26668

GCD(226, 236) = 53336 / 26668

GCD(226, 236) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 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 226, 236, 737, 141 is 1

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1. What is the GCD of 226, 236, 737, 141?

GCD of 226, 236, 737, 141 is 1

2. Where do I get the detailed procedure to find GCD of 226, 236, 737, 141?

You can find a detailed procedure to find GCD of 226, 236, 737, 141 on our page.

3. How to find GCD of 226, 236, 737, 141 on a calculator?

You can find the GCD of 226, 236, 737, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.