GCD of 342, 882, 732, 951 Calculator

Given Input numbers are 342, 882, 732, 951

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Greatest Common Divisior

We found the divisors of 342, 882, 732, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 882, 732, 951 is 3.

Therefore, GCD of numbers 342, 882, 732, 951 is 3

Given Input Data is 342, 882, 732, 951

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 951 is 3 x 317

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(342, 882) = 16758

GCD(342, 882) = ( 342 x 882 ) / 16758

GCD(342, 882) = 301644 / 16758

GCD(342, 882) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 732

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

LCM(18, 732) = 2196

GCD(18, 732) = ( 18 x 732 ) / 2196

GCD(18, 732) = 13176 / 2196

GCD(18, 732) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 951

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

LCM(6, 951) = 1902

GCD(6, 951) = ( 6 x 951 ) / 1902

GCD(6, 951) = 5706 / 1902

GCD(6, 951) = 3

GCD of 342, 882, 732, 951 is 3

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1. What is the GCD of 342, 882, 732, 951?

GCD of 342, 882, 732, 951 is 3

2. Where do I get the detailed procedure to find GCD of 342, 882, 732, 951?

You can find a detailed procedure to find GCD of 342, 882, 732, 951 on our page.

3. How to find GCD of 342, 882, 732, 951 on a calculator?

You can find the GCD of 342, 882, 732, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.