GCD of 740, 186, 835, 704 Calculator

Given Input numbers are 740, 186, 835, 704

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 740, 186, 835, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 186, 835, 704 is 1.

Therefore, GCD of numbers 740, 186, 835, 704 is 1

Given Input Data is 740, 186, 835, 704

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 835 is 5 x 167

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(740, 186) = 68820

GCD(740, 186) = ( 740 x 186 ) / 68820

GCD(740, 186) = 137640 / 68820

GCD(740, 186) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 835

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

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

GCD(2, 835) = 1670 / 1670

GCD(2, 835) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 740, 186, 835, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 947, 353, 761
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• GCD of 863, 640, 260, 129

1. What is the GCD of 740, 186, 835, 704?

GCD of 740, 186, 835, 704 is 1

2. Where do I get the detailed procedure to find GCD of 740, 186, 835, 704?

You can find a detailed procedure to find GCD of 740, 186, 835, 704 on our page.

3. How to find GCD of 740, 186, 835, 704 on a calculator?

You can find the GCD of 740, 186, 835, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.