GCD of 351, 303, 972, 154 Calculator

Given Input numbers are 351, 303, 972, 154

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 351, 303, 972, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 303, 972, 154 is 1.

Therefore, GCD of numbers 351, 303, 972, 154 is 1

Given Input Data is 351, 303, 972, 154

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 303 is 3 x 101

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 154 is 2 x 7 x 11

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(351, 303) = 35451

GCD(351, 303) = ( 351 x 303 ) / 35451

GCD(351, 303) = 106353 / 35451

GCD(351, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 972

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

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

GCD(3, 972) = 2916 / 972

GCD(3, 972) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 154

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

LCM(3, 154) = 462

GCD(3, 154) = ( 3 x 154 ) / 462

GCD(3, 154) = 462 / 462

GCD(3, 154) = 1

GCD of 351, 303, 972, 154 is 1

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1. What is the GCD of 351, 303, 972, 154?

GCD of 351, 303, 972, 154 is 1

2. Where do I get the detailed procedure to find GCD of 351, 303, 972, 154?

You can find a detailed procedure to find GCD of 351, 303, 972, 154 on our page.

3. How to find GCD of 351, 303, 972, 154 on a calculator?

You can find the GCD of 351, 303, 972, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.