GCD of 700, 295, 23, 106 Calculator

Given Input numbers are 700, 295, 23, 106

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

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 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 700, 295, 23, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 295, 23, 106 is 1.

Therefore, GCD of numbers 700, 295, 23, 106 is 1

Given Input Data is 700, 295, 23, 106

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

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 23 is 23

Prime Factorization of 106 is 2 x 53

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(700, 295) = 41300

GCD(700, 295) = ( 700 x 295 ) / 41300

GCD(700, 295) = 206500 / 41300

GCD(700, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 23

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

LCM(5, 23) = 115

GCD(5, 23) = ( 5 x 23 ) / 115

GCD(5, 23) = 115 / 115

GCD(5, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 700, 295, 23, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 976, 77, 180
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• GCD of 681, 566, 91, 332
• GCD of 923, 970, 28, 192

1. What is the GCD of 700, 295, 23, 106?

GCD of 700, 295, 23, 106 is 1

2. Where do I get the detailed procedure to find GCD of 700, 295, 23, 106?

You can find a detailed procedure to find GCD of 700, 295, 23, 106 on our page.

3. How to find GCD of 700, 295, 23, 106 on a calculator?

You can find the GCD of 700, 295, 23, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.