GCD of 910, 148, 138, 841 Calculator

Given Input numbers are 910, 148, 138, 841

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 148

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

1, 2, 4, 37, 74, 148

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 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 910, 148, 138, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 148, 138, 841 is 1.

Therefore, GCD of numbers 910, 148, 138, 841 is 1

Given Input Data is 910, 148, 138, 841

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 841 is 29 x 29

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(910, 148) = 67340

GCD(910, 148) = ( 910 x 148 ) / 67340

GCD(910, 148) = 134680 / 67340

GCD(910, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 841

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

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

GCD(2, 841) = 1682 / 1682

GCD(2, 841) = 1

GCD of 910, 148, 138, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 267, 285, 125
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• GCD of 633, 235, 305, 259
• GCD of 226, 285, 691, 141
• GCD of 381, 522, 642, 449

1. What is the GCD of 910, 148, 138, 841?

GCD of 910, 148, 138, 841 is 1

2. Where do I get the detailed procedure to find GCD of 910, 148, 138, 841?

You can find a detailed procedure to find GCD of 910, 148, 138, 841 on our page.

3. How to find GCD of 910, 148, 138, 841 on a calculator?

You can find the GCD of 910, 148, 138, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.