GCD of 196, 362, 707, 828 Calculator

Given Input numbers are 196, 362, 707, 828

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 196, 362, 707, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 362, 707, 828 is 1.

Therefore, GCD of numbers 196, 362, 707, 828 is 1

Given Input Data is 196, 362, 707, 828

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 362 is 2 x 181

Prime Factorization of 707 is 7 x 101

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(196, 362) = 35476

GCD(196, 362) = ( 196 x 362 ) / 35476

GCD(196, 362) = 70952 / 35476

GCD(196, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 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 196, 362, 707, 828 is 1

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1. What is the GCD of 196, 362, 707, 828?

GCD of 196, 362, 707, 828 is 1

2. Where do I get the detailed procedure to find GCD of 196, 362, 707, 828?

You can find a detailed procedure to find GCD of 196, 362, 707, 828 on our page.

3. How to find GCD of 196, 362, 707, 828 on a calculator?

You can find the GCD of 196, 362, 707, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.