GCD of 760, 328, 731, 416 Calculator

Given Input numbers are 760, 328, 731, 416

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

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 731

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

1, 17, 43, 731

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 760, 328, 731, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 328, 731, 416 is 1.

Therefore, GCD of numbers 760, 328, 731, 416 is 1

Given Input Data is 760, 328, 731, 416

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

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 731 is 17 x 43

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(760, 328) = 31160

GCD(760, 328) = ( 760 x 328 ) / 31160

GCD(760, 328) = 249280 / 31160

GCD(760, 328) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 731

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

LCM(8, 731) = 5848

GCD(8, 731) = ( 8 x 731 ) / 5848

GCD(8, 731) = 5848 / 5848

GCD(8, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 760, 328, 731, 416 is 1

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• GCD of 720, 124, 418, 829
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• GCD of 593, 586, 125, 165

1. What is the GCD of 760, 328, 731, 416?

GCD of 760, 328, 731, 416 is 1

2. Where do I get the detailed procedure to find GCD of 760, 328, 731, 416?

You can find a detailed procedure to find GCD of 760, 328, 731, 416 on our page.

3. How to find GCD of 760, 328, 731, 416 on a calculator?

You can find the GCD of 760, 328, 731, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.