GCD of 398, 776, 801, 144 Calculator

Given Input numbers are 398, 776, 801, 144

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 398, 776, 801, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 776, 801, 144 is 1.

Therefore, GCD of numbers 398, 776, 801, 144 is 1

Given Input Data is 398, 776, 801, 144

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(398, 776) = 154424

GCD(398, 776) = ( 398 x 776 ) / 154424

GCD(398, 776) = 308848 / 154424

GCD(398, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 801

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

LCM(2, 801) = 1602

GCD(2, 801) = ( 2 x 801 ) / 1602

GCD(2, 801) = 1602 / 1602

GCD(2, 801) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 398, 776, 801, 144 is 1

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1. What is the GCD of 398, 776, 801, 144?

GCD of 398, 776, 801, 144 is 1

2. Where do I get the detailed procedure to find GCD of 398, 776, 801, 144?

You can find a detailed procedure to find GCD of 398, 776, 801, 144 on our page.

3. How to find GCD of 398, 776, 801, 144 on a calculator?

You can find the GCD of 398, 776, 801, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.