GCD of 440, 782, 314, 387 Calculator

Given Input numbers are 440, 782, 314, 387

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 440, 782, 314, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 782, 314, 387 is 1.

Therefore, GCD of numbers 440, 782, 314, 387 is 1

Given Input Data is 440, 782, 314, 387

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 314 is 2 x 157

Prime Factorization of 387 is 3 x 3 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(440, 782) = 172040

GCD(440, 782) = ( 440 x 782 ) / 172040

GCD(440, 782) = 344080 / 172040

GCD(440, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 387

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

LCM(2, 387) = 774

GCD(2, 387) = ( 2 x 387 ) / 774

GCD(2, 387) = 774 / 774

GCD(2, 387) = 1

GCD of 440, 782, 314, 387 is 1

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• GCD of 761, 947, 542, 949
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1. What is the GCD of 440, 782, 314, 387?

GCD of 440, 782, 314, 387 is 1

2. Where do I get the detailed procedure to find GCD of 440, 782, 314, 387?

You can find a detailed procedure to find GCD of 440, 782, 314, 387 on our page.

3. How to find GCD of 440, 782, 314, 387 on a calculator?

You can find the GCD of 440, 782, 314, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.