GCD of 740, 796, 471, 653 Calculator

Given Input numbers are 740, 796, 471, 653

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 740, 796, 471, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 796, 471, 653 is 1.

Therefore, GCD of numbers 740, 796, 471, 653 is 1

Given Input Data is 740, 796, 471, 653

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 796 is 2 x 2 x 199

Prime Factorization of 471 is 3 x 157

Prime Factorization of 653 is 653

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, 796) = 147260

GCD(740, 796) = ( 740 x 796 ) / 147260

GCD(740, 796) = 589040 / 147260

GCD(740, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 471

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

LCM(4, 471) = 1884

GCD(4, 471) = ( 4 x 471 ) / 1884

GCD(4, 471) = 1884 / 1884

GCD(4, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 740, 796, 471, 653 is 1

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• GCD of 967, 842, 125, 990
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• GCD of 520, 838, 110, 808

1. What is the GCD of 740, 796, 471, 653?

GCD of 740, 796, 471, 653 is 1

2. Where do I get the detailed procedure to find GCD of 740, 796, 471, 653?

You can find a detailed procedure to find GCD of 740, 796, 471, 653 on our page.

3. How to find GCD of 740, 796, 471, 653 on a calculator?

You can find the GCD of 740, 796, 471, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.