GCD of 402, 992, 760 Calculator

Given Input numbers are 402, 992, 760

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 402, 992, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 992, 760 is 2.

Therefore, GCD of numbers 402, 992, 760 is 2

Given Input Data is 402, 992, 760

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(402, 992) = 199392

GCD(402, 992) = ( 402 x 992 ) / 199392

GCD(402, 992) = 398784 / 199392

GCD(402, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

GCD of 402, 992, 760 is 2

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1. What is the GCD of 402, 992, 760?

GCD of 402, 992, 760 is 2

2. Where do I get the detailed procedure to find GCD of 402, 992, 760?

You can find a detailed procedure to find GCD of 402, 992, 760 on our page.

3. How to find GCD of 402, 992, 760 on a calculator?

You can find the GCD of 402, 992, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.