GCD of 512, 746, 77, 398 Calculator

Given Input numbers are 512, 746, 77, 398

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 512, 746, 77, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 746, 77, 398 is 1.

Therefore, GCD of numbers 512, 746, 77, 398 is 1

Given Input Data is 512, 746, 77, 398

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 746 is 2 x 373

Prime Factorization of 77 is 7 x 11

Prime Factorization of 398 is 2 x 199

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(512, 746) = 190976

GCD(512, 746) = ( 512 x 746 ) / 190976

GCD(512, 746) = 381952 / 190976

GCD(512, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 512, 746, 77, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 486, 83, 758
• GCD of 621, 354, 90, 642
• GCD of 169, 379, 23, 564
• GCD of 525, 759, 48, 262
• GCD of 226, 842, 23, 620

1. What is the GCD of 512, 746, 77, 398?

GCD of 512, 746, 77, 398 is 1

2. Where do I get the detailed procedure to find GCD of 512, 746, 77, 398?

You can find a detailed procedure to find GCD of 512, 746, 77, 398 on our page.

3. How to find GCD of 512, 746, 77, 398 on a calculator?

You can find the GCD of 512, 746, 77, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.