GCD of 346, 738, 762 Calculator

Given Input numbers are 346, 738, 762

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 762

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

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

Greatest Common Divisior

We found the divisors of 346, 738, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 738, 762 is 2.

Therefore, GCD of numbers 346, 738, 762 is 2

Given Input Data is 346, 738, 762

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 762 is 2 x 3 x 127

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(346, 738) = 127674

GCD(346, 738) = ( 346 x 738 ) / 127674

GCD(346, 738) = 255348 / 127674

GCD(346, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

GCD of 346, 738, 762 is 2

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1. What is the GCD of 346, 738, 762?

GCD of 346, 738, 762 is 2

2. Where do I get the detailed procedure to find GCD of 346, 738, 762?

You can find a detailed procedure to find GCD of 346, 738, 762 on our page.

3. How to find GCD of 346, 738, 762 on a calculator?

You can find the GCD of 346, 738, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.