GCD of 138, 892, 907, 882 Calculator

Given Input numbers are 138, 892, 907, 882

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 138, 892, 907, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 892, 907, 882 is 1.

Therefore, GCD of numbers 138, 892, 907, 882 is 1

Given Input Data is 138, 892, 907, 882

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 907 is 907

Prime Factorization of 882 is 2 x 3 x 3 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(138, 892) = 61548

GCD(138, 892) = ( 138 x 892 ) / 61548

GCD(138, 892) = 123096 / 61548

GCD(138, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 907

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

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

GCD(2, 907) = 1814 / 1814

GCD(2, 907) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 138, 892, 907, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 250, 750, 547
• GCD of 578, 385, 365, 202
• GCD of 830, 279, 565, 465
• GCD of 882, 117, 537, 464
• GCD of 577, 751, 869, 239

1. What is the GCD of 138, 892, 907, 882?

GCD of 138, 892, 907, 882 is 1

2. Where do I get the detailed procedure to find GCD of 138, 892, 907, 882?

You can find a detailed procedure to find GCD of 138, 892, 907, 882 on our page.

3. How to find GCD of 138, 892, 907, 882 on a calculator?

You can find the GCD of 138, 892, 907, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.