GCD of 229, 705, 139, 196 Calculator

Given Input numbers are 229, 705, 139, 196

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

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

Greatest Common Divisior

We found the divisors of 229, 705, 139, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 705, 139, 196 is 1.

Therefore, GCD of numbers 229, 705, 139, 196 is 1

Given Input Data is 229, 705, 139, 196

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

Prime Factorization of 229 is 229

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 139 is 139

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

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(229, 705) = 161445

GCD(229, 705) = ( 229 x 705 ) / 161445

GCD(229, 705) = 161445 / 161445

GCD(229, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 229, 705, 139, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 466, 803, 422
• GCD of 342, 995, 861, 666
• GCD of 599, 383, 651, 450
• GCD of 486, 328, 272, 196
• GCD of 770, 837, 220, 434

1. What is the GCD of 229, 705, 139, 196?

GCD of 229, 705, 139, 196 is 1

2. Where do I get the detailed procedure to find GCD of 229, 705, 139, 196?

You can find a detailed procedure to find GCD of 229, 705, 139, 196 on our page.

3. How to find GCD of 229, 705, 139, 196 on a calculator?

You can find the GCD of 229, 705, 139, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.