GCD of 207, 149, 262, 100 Calculator

Given Input numbers are 207, 149, 262, 100

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 207, 149, 262, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 149, 262, 100 is 1.

Therefore, GCD of numbers 207, 149, 262, 100 is 1

Given Input Data is 207, 149, 262, 100

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 149 is 149

Prime Factorization of 262 is 2 x 131

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(207, 149) = 30843

GCD(207, 149) = ( 207 x 149 ) / 30843

GCD(207, 149) = 30843 / 30843

GCD(207, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 207, 149, 262, 100 is 1

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1. What is the GCD of 207, 149, 262, 100?

GCD of 207, 149, 262, 100 is 1

2. Where do I get the detailed procedure to find GCD of 207, 149, 262, 100?

You can find a detailed procedure to find GCD of 207, 149, 262, 100 on our page.

3. How to find GCD of 207, 149, 262, 100 on a calculator?

You can find the GCD of 207, 149, 262, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.