GCD of 762, 380, 348 Calculator

Given Input numbers are 762, 380, 348

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 762, 380, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 380, 348 is 2.

Therefore, GCD of numbers 762, 380, 348 is 2

Given Input Data is 762, 380, 348

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 380) = 144780

GCD(762, 380) = ( 762 x 380 ) / 144780

GCD(762, 380) = 289560 / 144780

GCD(762, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 762, 380, 348 is 2

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1. What is the GCD of 762, 380, 348?

GCD of 762, 380, 348 is 2

2. Where do I get the detailed procedure to find GCD of 762, 380, 348?

You can find a detailed procedure to find GCD of 762, 380, 348 on our page.

3. How to find GCD of 762, 380, 348 on a calculator?

You can find the GCD of 762, 380, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.