GCD of 178, 734, 70, 683 Calculator

Given Input numbers are 178, 734, 70, 683

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 734

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

1, 2, 367, 734

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 178, 734, 70, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 734, 70, 683 is 1.

Therefore, GCD of numbers 178, 734, 70, 683 is 1

Given Input Data is 178, 734, 70, 683

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 734 is 2 x 367

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 683 is 683

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(178, 734) = 65326

GCD(178, 734) = ( 178 x 734 ) / 65326

GCD(178, 734) = 130652 / 65326

GCD(178, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

GCD of 178, 734, 70, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 905, 52, 107
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• GCD of 400, 733, 32, 949
• GCD of 567, 364, 55, 978
• GCD of 145, 373, 78, 690

1. What is the GCD of 178, 734, 70, 683?

GCD of 178, 734, 70, 683 is 1

2. Where do I get the detailed procedure to find GCD of 178, 734, 70, 683?

You can find a detailed procedure to find GCD of 178, 734, 70, 683 on our page.

3. How to find GCD of 178, 734, 70, 683 on a calculator?

You can find the GCD of 178, 734, 70, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.