GCD of 178, 700, 51, 234 Calculator

Given Input numbers are 178, 700, 51, 234

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 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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 178, 700, 51, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 700, 51, 234 is 1.

Therefore, GCD of numbers 178, 700, 51, 234 is 1

Given Input Data is 178, 700, 51, 234

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

Prime Factorization of 178 is 2 x 89

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 234 is 2 x 3 x 3 x 13

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, 700) = 62300

GCD(178, 700) = ( 178 x 700 ) / 62300

GCD(178, 700) = 124600 / 62300

GCD(178, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 178, 700, 51, 234 is 1

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• GCD of 503, 417, 68, 514
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1. What is the GCD of 178, 700, 51, 234?

GCD of 178, 700, 51, 234 is 1

2. Where do I get the detailed procedure to find GCD of 178, 700, 51, 234?

You can find a detailed procedure to find GCD of 178, 700, 51, 234 on our page.

3. How to find GCD of 178, 700, 51, 234 on a calculator?

You can find the GCD of 178, 700, 51, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.