GCD of 196, 699, 858, 747 Calculator

Given Input numbers are 196, 699, 858, 747

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 196, 699, 858, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 699, 858, 747 is 1.

Therefore, GCD of numbers 196, 699, 858, 747 is 1

Given Input Data is 196, 699, 858, 747

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 699 is 3 x 233

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 747 is 3 x 3 x 83

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(196, 699) = 137004

GCD(196, 699) = ( 196 x 699 ) / 137004

GCD(196, 699) = 137004 / 137004

GCD(196, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 196, 699, 858, 747 is 1

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1. What is the GCD of 196, 699, 858, 747?

GCD of 196, 699, 858, 747 is 1

2. Where do I get the detailed procedure to find GCD of 196, 699, 858, 747?

You can find a detailed procedure to find GCD of 196, 699, 858, 747 on our page.

3. How to find GCD of 196, 699, 858, 747 on a calculator?

You can find the GCD of 196, 699, 858, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.