GCD of 118, 734, 553, 682 Calculator

Given Input numbers are 118, 734, 553, 682

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 118, 734, 553, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 734, 553, 682 is 1.

Therefore, GCD of numbers 118, 734, 553, 682 is 1

Given Input Data is 118, 734, 553, 682

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 734 is 2 x 367

Prime Factorization of 553 is 7 x 79

Prime Factorization of 682 is 2 x 11 x 31

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(118, 734) = 43306

GCD(118, 734) = ( 118 x 734 ) / 43306

GCD(118, 734) = 86612 / 43306

GCD(118, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 118, 734, 553, 682 is 1

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1. What is the GCD of 118, 734, 553, 682?

GCD of 118, 734, 553, 682 is 1

2. Where do I get the detailed procedure to find GCD of 118, 734, 553, 682?

You can find a detailed procedure to find GCD of 118, 734, 553, 682 on our page.

3. How to find GCD of 118, 734, 553, 682 on a calculator?

You can find the GCD of 118, 734, 553, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.