GCD of 778, 578, 49, 716 Calculator

Given Input numbers are 778, 578, 49, 716

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 778, 578, 49, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 578, 49, 716 is 1.

Therefore, GCD of numbers 778, 578, 49, 716 is 1

Given Input Data is 778, 578, 49, 716

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 49 is 7 x 7

Prime Factorization of 716 is 2 x 2 x 179

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, 578) = 224842

GCD(778, 578) = ( 778 x 578 ) / 224842

GCD(778, 578) = 449684 / 224842

GCD(778, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 778, 578, 49, 716 is 1

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1. What is the GCD of 778, 578, 49, 716?

GCD of 778, 578, 49, 716 is 1

2. Where do I get the detailed procedure to find GCD of 778, 578, 49, 716?

You can find a detailed procedure to find GCD of 778, 578, 49, 716 on our page.

3. How to find GCD of 778, 578, 49, 716 on a calculator?

You can find the GCD of 778, 578, 49, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.