GCD of 778, 345, 177, 748 Calculator

Given Input numbers are 778, 345, 177, 748

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 778, 345, 177, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 345, 177, 748 is 1.

Therefore, GCD of numbers 778, 345, 177, 748 is 1

Given Input Data is 778, 345, 177, 748

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 177 is 3 x 59

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 345) = 268410

GCD(778, 345) = ( 778 x 345 ) / 268410

GCD(778, 345) = 268410 / 268410

GCD(778, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 778, 345, 177, 748 is 1

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1. What is the GCD of 778, 345, 177, 748?

GCD of 778, 345, 177, 748 is 1

2. Where do I get the detailed procedure to find GCD of 778, 345, 177, 748?

You can find a detailed procedure to find GCD of 778, 345, 177, 748 on our page.

3. How to find GCD of 778, 345, 177, 748 on a calculator?

You can find the GCD of 778, 345, 177, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.