GCD of 778, 376, 89, 786 Calculator

Given Input numbers are 778, 376, 89, 786

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 778, 376, 89, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 376, 89, 786 is 1.

Therefore, GCD of numbers 778, 376, 89, 786 is 1

Given Input Data is 778, 376, 89, 786

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 89 is 89

Prime Factorization of 786 is 2 x 3 x 131

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, 376) = 146264

GCD(778, 376) = ( 778 x 376 ) / 146264

GCD(778, 376) = 292528 / 146264

GCD(778, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 778, 376, 89, 786 is 1

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1. What is the GCD of 778, 376, 89, 786?

GCD of 778, 376, 89, 786 is 1

2. Where do I get the detailed procedure to find GCD of 778, 376, 89, 786?

You can find a detailed procedure to find GCD of 778, 376, 89, 786 on our page.

3. How to find GCD of 778, 376, 89, 786 on a calculator?

You can find the GCD of 778, 376, 89, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.