GCD of 139, 692, 49, 217 Calculator

Given Input numbers are 139, 692, 49, 217

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

Divisors of 139

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

1, 139

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 139, 692, 49, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 692, 49, 217 is 1.

Therefore, GCD of numbers 139, 692, 49, 217 is 1

Given Input Data is 139, 692, 49, 217

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

Prime Factorization of 139 is 139

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 49 is 7 x 7

Prime Factorization of 217 is 7 x 31

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(139, 692) = 96188

GCD(139, 692) = ( 139 x 692 ) / 96188

GCD(139, 692) = 96188 / 96188

GCD(139, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 139, 692, 49, 217 is 1

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1. What is the GCD of 139, 692, 49, 217?

GCD of 139, 692, 49, 217 is 1

2. Where do I get the detailed procedure to find GCD of 139, 692, 49, 217?

You can find a detailed procedure to find GCD of 139, 692, 49, 217 on our page.

3. How to find GCD of 139, 692, 49, 217 on a calculator?

You can find the GCD of 139, 692, 49, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.