GCD of 737, 460, 228, 119 Calculator

Given Input numbers are 737, 460, 228, 119

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

Divisors of 737

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

1, 11, 67, 737

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 737, 460, 228, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 460, 228, 119 is 1.

Therefore, GCD of numbers 737, 460, 228, 119 is 1

Given Input Data is 737, 460, 228, 119

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 119 is 7 x 17

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(737, 460) = 339020

GCD(737, 460) = ( 737 x 460 ) / 339020

GCD(737, 460) = 339020 / 339020

GCD(737, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 737, 460, 228, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 396, 241, 422
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• GCD of 512, 182, 615, 436

1. What is the GCD of 737, 460, 228, 119?

GCD of 737, 460, 228, 119 is 1

2. Where do I get the detailed procedure to find GCD of 737, 460, 228, 119?

You can find a detailed procedure to find GCD of 737, 460, 228, 119 on our page.

3. How to find GCD of 737, 460, 228, 119 on a calculator?

You can find the GCD of 737, 460, 228, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.