GCD of 736, 948, 337, 226 Calculator

Given Input numbers are 736, 948, 337, 226

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

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 736, 948, 337, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 948, 337, 226 is 1.

Therefore, GCD of numbers 736, 948, 337, 226 is 1

Given Input Data is 736, 948, 337, 226

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

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 337 is 337

Prime Factorization of 226 is 2 x 113

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(736, 948) = 174432

GCD(736, 948) = ( 736 x 948 ) / 174432

GCD(736, 948) = 697728 / 174432

GCD(736, 948) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 337

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

LCM(4, 337) = 1348

GCD(4, 337) = ( 4 x 337 ) / 1348

GCD(4, 337) = 1348 / 1348

GCD(4, 337) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 736, 948, 337, 226 is 1

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1. What is the GCD of 736, 948, 337, 226?

GCD of 736, 948, 337, 226 is 1

2. Where do I get the detailed procedure to find GCD of 736, 948, 337, 226?

You can find a detailed procedure to find GCD of 736, 948, 337, 226 on our page.

3. How to find GCD of 736, 948, 337, 226 on a calculator?

You can find the GCD of 736, 948, 337, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.