GCD of 778, 874, 816, 897 Calculator

Given Input numbers are 778, 874, 816, 897

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 778, 874, 816, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 874, 816, 897 is 1.

Therefore, GCD of numbers 778, 874, 816, 897 is 1

Given Input Data is 778, 874, 816, 897

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 897 is 3 x 13 x 23

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(778, 874) = 339986

GCD(778, 874) = ( 778 x 874 ) / 339986

GCD(778, 874) = 679972 / 339986

GCD(778, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 816

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

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

GCD(2, 816) = 1632 / 816

GCD(2, 816) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

GCD of 778, 874, 816, 897 is 1

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1. What is the GCD of 778, 874, 816, 897?

GCD of 778, 874, 816, 897 is 1

2. Where do I get the detailed procedure to find GCD of 778, 874, 816, 897?

You can find a detailed procedure to find GCD of 778, 874, 816, 897 on our page.

3. How to find GCD of 778, 874, 816, 897 on a calculator?

You can find the GCD of 778, 874, 816, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.