GCD of 95, 704, 188, 122 Calculator

Given Input numbers are 95, 704, 188, 122

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 95, 704, 188, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 704, 188, 122 is 1.

Therefore, GCD of numbers 95, 704, 188, 122 is 1

Given Input Data is 95, 704, 188, 122

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 122 is 2 x 61

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(95, 704) = 66880

GCD(95, 704) = ( 95 x 704 ) / 66880

GCD(95, 704) = 66880 / 66880

GCD(95, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 95, 704, 188, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 907, 780, 298
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• GCD of 74, 868, 101, 711
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• GCD of 89, 895, 209, 292

1. What is the GCD of 95, 704, 188, 122?

GCD of 95, 704, 188, 122 is 1

2. Where do I get the detailed procedure to find GCD of 95, 704, 188, 122?

You can find a detailed procedure to find GCD of 95, 704, 188, 122 on our page.

3. How to find GCD of 95, 704, 188, 122 on a calculator?

You can find the GCD of 95, 704, 188, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.