GCD of 369, 737, 103, 354 Calculator

Given Input numbers are 369, 737, 103, 354

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 737

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

1, 11, 67, 737

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 369, 737, 103, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 737, 103, 354 is 1.

Therefore, GCD of numbers 369, 737, 103, 354 is 1

Given Input Data is 369, 737, 103, 354

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 737 is 11 x 67

Prime Factorization of 103 is 103

Prime Factorization of 354 is 2 x 3 x 59

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(369, 737) = 271953

GCD(369, 737) = ( 369 x 737 ) / 271953

GCD(369, 737) = 271953 / 271953

GCD(369, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 369, 737, 103, 354 is 1

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1. What is the GCD of 369, 737, 103, 354?

GCD of 369, 737, 103, 354 is 1

2. Where do I get the detailed procedure to find GCD of 369, 737, 103, 354?

You can find a detailed procedure to find GCD of 369, 737, 103, 354 on our page.

3. How to find GCD of 369, 737, 103, 354 on a calculator?

You can find the GCD of 369, 737, 103, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.