GCD of 49, 735, 778, 559 Calculator

Given Input numbers are 49, 735, 778, 559

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

Divisors of 49

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

1, 7, 49

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 778

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

1, 2, 389, 778

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 49, 735, 778, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 735, 778, 559 is 1.

Therefore, GCD of numbers 49, 735, 778, 559 is 1

Given Input Data is 49, 735, 778, 559

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 778 is 2 x 389

Prime Factorization of 559 is 13 x 43

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(49, 735) = 735

GCD(49, 735) = ( 49 x 735 ) / 735

GCD(49, 735) = 36015 / 735

GCD(49, 735) = 49

Step2:

Here we consider the GCD from the above i.e. 49 as first number and the next as 778

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

LCM(49, 778) = 38122

GCD(49, 778) = ( 49 x 778 ) / 38122

GCD(49, 778) = 38122 / 38122

GCD(49, 778) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 49, 735, 778, 559 is 1

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• GCD of 40, 727, 404, 644
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1. What is the GCD of 49, 735, 778, 559?

GCD of 49, 735, 778, 559 is 1

2. Where do I get the detailed procedure to find GCD of 49, 735, 778, 559?

You can find a detailed procedure to find GCD of 49, 735, 778, 559 on our page.

3. How to find GCD of 49, 735, 778, 559 on a calculator?

You can find the GCD of 49, 735, 778, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.