GCD of 354, 379, 16, 954 Calculator

Given Input numbers are 354, 379, 16, 954

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

Divisors of 354

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

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

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 354, 379, 16, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 379, 16, 954 is 1.

Therefore, GCD of numbers 354, 379, 16, 954 is 1

Given Input Data is 354, 379, 16, 954

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 379 is 379

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(354, 379) = 134166

GCD(354, 379) = ( 354 x 379 ) / 134166

GCD(354, 379) = 134166 / 134166

GCD(354, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 354, 379, 16, 954 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 755, 72, 626
• GCD of 119, 987, 59, 285
• GCD of 937, 377, 22, 793
• GCD of 925, 367, 42, 245
• GCD of 328, 100, 34, 840

1. What is the GCD of 354, 379, 16, 954?

GCD of 354, 379, 16, 954 is 1

2. Where do I get the detailed procedure to find GCD of 354, 379, 16, 954?

You can find a detailed procedure to find GCD of 354, 379, 16, 954 on our page.

3. How to find GCD of 354, 379, 16, 954 on a calculator?

You can find the GCD of 354, 379, 16, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.