GCD of 769, 948, 855, 398 Calculator

Given Input numbers are 769, 948, 855, 398

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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 769, 948, 855, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 948, 855, 398 is 1.

Therefore, GCD of numbers 769, 948, 855, 398 is 1

Given Input Data is 769, 948, 855, 398

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

Prime Factorization of 769 is 769

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(769, 948) = 729012

GCD(769, 948) = ( 769 x 948 ) / 729012

GCD(769, 948) = 729012 / 729012

GCD(769, 948) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 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 769, 948, 855, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 424, 876, 968
• GCD of 846, 503, 723, 816
• GCD of 166, 545, 587, 156
• GCD of 955, 603, 889, 359
• GCD of 456, 328, 520, 458

1. What is the GCD of 769, 948, 855, 398?

GCD of 769, 948, 855, 398 is 1

2. Where do I get the detailed procedure to find GCD of 769, 948, 855, 398?

You can find a detailed procedure to find GCD of 769, 948, 855, 398 on our page.

3. How to find GCD of 769, 948, 855, 398 on a calculator?

You can find the GCD of 769, 948, 855, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.