GCD of 148, 807, 42, 206 Calculator

Given Input numbers are 148, 807, 42, 206

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 148, 807, 42, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 807, 42, 206 is 1.

Therefore, GCD of numbers 148, 807, 42, 206 is 1

Given Input Data is 148, 807, 42, 206

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 807 is 3 x 269

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 206 is 2 x 103

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(148, 807) = 119436

GCD(148, 807) = ( 148 x 807 ) / 119436

GCD(148, 807) = 119436 / 119436

GCD(148, 807) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 148, 807, 42, 206 is 1

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1. What is the GCD of 148, 807, 42, 206?

GCD of 148, 807, 42, 206 is 1

2. Where do I get the detailed procedure to find GCD of 148, 807, 42, 206?

You can find a detailed procedure to find GCD of 148, 807, 42, 206 on our page.

3. How to find GCD of 148, 807, 42, 206 on a calculator?

You can find the GCD of 148, 807, 42, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.