GCD of 199, 700, 134, 828 Calculator

Given Input numbers are 199, 700, 134, 828

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

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 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 199, 700, 134, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 700, 134, 828 is 1.

Therefore, GCD of numbers 199, 700, 134, 828 is 1

Given Input Data is 199, 700, 134, 828

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

Prime Factorization of 199 is 199

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(199, 700) = 139300

GCD(199, 700) = ( 199 x 700 ) / 139300

GCD(199, 700) = 139300 / 139300

GCD(199, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 199, 700, 134, 828 is 1

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• GCD of 355, 759, 774, 563
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1. What is the GCD of 199, 700, 134, 828?

GCD of 199, 700, 134, 828 is 1

2. Where do I get the detailed procedure to find GCD of 199, 700, 134, 828?

You can find a detailed procedure to find GCD of 199, 700, 134, 828 on our page.

3. How to find GCD of 199, 700, 134, 828 on a calculator?

You can find the GCD of 199, 700, 134, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.