GCD of 762, 171, 372 Calculator

Given Input numbers are 762, 171, 372

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 762, 171, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 171, 372 is 3.

Therefore, GCD of numbers 762, 171, 372 is 3

Given Input Data is 762, 171, 372

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(762, 171) = 43434

GCD(762, 171) = ( 762 x 171 ) / 43434

GCD(762, 171) = 130302 / 43434

GCD(762, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 372

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

LCM(3, 372) = 372

GCD(3, 372) = ( 3 x 372 ) / 372

GCD(3, 372) = 1116 / 372

GCD(3, 372) = 3

GCD of 762, 171, 372 is 3

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1. What is the GCD of 762, 171, 372?

GCD of 762, 171, 372 is 3

2. Where do I get the detailed procedure to find GCD of 762, 171, 372?

You can find a detailed procedure to find GCD of 762, 171, 372 on our page.

3. How to find GCD of 762, 171, 372 on a calculator?

You can find the GCD of 762, 171, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.