GCD of 18, 731, 154, 760 Calculator

Given Input numbers are 18, 731, 154, 760

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 18, 731, 154, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 731, 154, 760 is 1.

Therefore, GCD of numbers 18, 731, 154, 760 is 1

Given Input Data is 18, 731, 154, 760

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 731 is 17 x 43

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(18, 731) = 13158

GCD(18, 731) = ( 18 x 731 ) / 13158

GCD(18, 731) = 13158 / 13158

GCD(18, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 18, 731, 154, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 366, 991, 552
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• GCD of 29, 967, 430, 642
• GCD of 40, 437, 542, 484
• GCD of 31, 754, 579, 376

1. What is the GCD of 18, 731, 154, 760?

GCD of 18, 731, 154, 760 is 1

2. Where do I get the detailed procedure to find GCD of 18, 731, 154, 760?

You can find a detailed procedure to find GCD of 18, 731, 154, 760 on our page.

3. How to find GCD of 18, 731, 154, 760 on a calculator?

You can find the GCD of 18, 731, 154, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.