GCD of 638, 700, 87, 778 Calculator

Given Input numbers are 638, 700, 87, 778

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 778

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

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 638, 700, 87, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 700, 87, 778 is 1.

Therefore, GCD of numbers 638, 700, 87, 778 is 1

Given Input Data is 638, 700, 87, 778

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 87 is 3 x 29

Prime Factorization of 778 is 2 x 389

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(638, 700) = 223300

GCD(638, 700) = ( 638 x 700 ) / 223300

GCD(638, 700) = 446600 / 223300

GCD(638, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

GCD of 638, 700, 87, 778 is 1

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1. What is the GCD of 638, 700, 87, 778?

GCD of 638, 700, 87, 778 is 1

2. Where do I get the detailed procedure to find GCD of 638, 700, 87, 778?

You can find a detailed procedure to find GCD of 638, 700, 87, 778 on our page.

3. How to find GCD of 638, 700, 87, 778 on a calculator?

You can find the GCD of 638, 700, 87, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.