GCD of 762, 170, 478 Calculator

Given Input numbers are 762, 170, 478

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 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 762, 170, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 170, 478 is 2.

Therefore, GCD of numbers 762, 170, 478 is 2

Given Input Data is 762, 170, 478

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 170 is 2 x 5 x 17

Prime Factorization of 478 is 2 x 239

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 170) = 64770

GCD(762, 170) = ( 762 x 170 ) / 64770

GCD(762, 170) = 129540 / 64770

GCD(762, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

GCD of 762, 170, 478 is 2

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1. What is the GCD of 762, 170, 478?

GCD of 762, 170, 478 is 2

2. Where do I get the detailed procedure to find GCD of 762, 170, 478?

You can find a detailed procedure to find GCD of 762, 170, 478 on our page.

3. How to find GCD of 762, 170, 478 on a calculator?

You can find the GCD of 762, 170, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.