GCD of 71, 462, 414, 757 Calculator

Given Input numbers are 71, 462, 414, 757

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 71, 462, 414, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 462, 414, 757 is 1.

Therefore, GCD of numbers 71, 462, 414, 757 is 1

Given Input Data is 71, 462, 414, 757

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

Prime Factorization of 71 is 71

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 757 is 757

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(71, 462) = 32802

GCD(71, 462) = ( 71 x 462 ) / 32802

GCD(71, 462) = 32802 / 32802

GCD(71, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 71, 462, 414, 757 is 1

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• GCD of 52, 778, 514, 562
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1. What is the GCD of 71, 462, 414, 757?

GCD of 71, 462, 414, 757 is 1

2. Where do I get the detailed procedure to find GCD of 71, 462, 414, 757?

You can find a detailed procedure to find GCD of 71, 462, 414, 757 on our page.

3. How to find GCD of 71, 462, 414, 757 on a calculator?

You can find the GCD of 71, 462, 414, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.