GCD of 114, 640, 691, 731 Calculator

Given Input numbers are 114, 640, 691, 731

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 731

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

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 114, 640, 691, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 640, 691, 731 is 1.

Therefore, GCD of numbers 114, 640, 691, 731 is 1

Given Input Data is 114, 640, 691, 731

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 691 is 691

Prime Factorization of 731 is 17 x 43

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(114, 640) = 36480

GCD(114, 640) = ( 114 x 640 ) / 36480

GCD(114, 640) = 72960 / 36480

GCD(114, 640) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

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

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 114, 640, 691, 731 is 1

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• GCD of 442, 434, 126, 282
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• GCD of 655, 675, 717, 634

1. What is the GCD of 114, 640, 691, 731?

GCD of 114, 640, 691, 731 is 1

2. Where do I get the detailed procedure to find GCD of 114, 640, 691, 731?

You can find a detailed procedure to find GCD of 114, 640, 691, 731 on our page.

3. How to find GCD of 114, 640, 691, 731 on a calculator?

You can find the GCD of 114, 640, 691, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.