GCD of 400, 770, 679, 110 Calculator

Given Input numbers are 400, 770, 679, 110

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 400, 770, 679, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 770, 679, 110 is 1.

Therefore, GCD of numbers 400, 770, 679, 110 is 1

Given Input Data is 400, 770, 679, 110

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 679 is 7 x 97

Prime Factorization of 110 is 2 x 5 x 11

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(400, 770) = 30800

GCD(400, 770) = ( 400 x 770 ) / 30800

GCD(400, 770) = 308000 / 30800

GCD(400, 770) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 679

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

LCM(10, 679) = 6790

GCD(10, 679) = ( 10 x 679 ) / 6790

GCD(10, 679) = 6790 / 6790

GCD(10, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 400, 770, 679, 110 is 1

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1. What is the GCD of 400, 770, 679, 110?

GCD of 400, 770, 679, 110 is 1

2. Where do I get the detailed procedure to find GCD of 400, 770, 679, 110?

You can find a detailed procedure to find GCD of 400, 770, 679, 110 on our page.

3. How to find GCD of 400, 770, 679, 110 on a calculator?

You can find the GCD of 400, 770, 679, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.