GCD of 351, 606, 972, 858 Calculator

Given Input numbers are 351, 606, 972, 858

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 351, 606, 972, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 606, 972, 858 is 3.

Therefore, GCD of numbers 351, 606, 972, 858 is 3

Given Input Data is 351, 606, 972, 858

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 606 is 2 x 3 x 101

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 606) = 70902

GCD(351, 606) = ( 351 x 606 ) / 70902

GCD(351, 606) = 212706 / 70902

GCD(351, 606) = 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 858

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

LCM(3, 858) = 858

GCD(3, 858) = ( 3 x 858 ) / 858

GCD(3, 858) = 2574 / 858

GCD(3, 858) = 3

GCD of 351, 606, 972, 858 is 3

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1. What is the GCD of 351, 606, 972, 858?

GCD of 351, 606, 972, 858 is 3

2. Where do I get the detailed procedure to find GCD of 351, 606, 972, 858?

You can find a detailed procedure to find GCD of 351, 606, 972, 858 on our page.

3. How to find GCD of 351, 606, 972, 858 on a calculator?

You can find the GCD of 351, 606, 972, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.