GCD of 314, 623, 680, 762 Calculator

Given Input numbers are 314, 623, 680, 762

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 314, 623, 680, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 623, 680, 762 is 1.

Therefore, GCD of numbers 314, 623, 680, 762 is 1

Given Input Data is 314, 623, 680, 762

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 623 is 7 x 89

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 762 is 2 x 3 x 127

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(314, 623) = 195622

GCD(314, 623) = ( 314 x 623 ) / 195622

GCD(314, 623) = 195622 / 195622

GCD(314, 623) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 314, 623, 680, 762 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 959, 185, 560
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• GCD of 388, 732, 875, 815

1. What is the GCD of 314, 623, 680, 762?

GCD of 314, 623, 680, 762 is 1

2. Where do I get the detailed procedure to find GCD of 314, 623, 680, 762?

You can find a detailed procedure to find GCD of 314, 623, 680, 762 on our page.

3. How to find GCD of 314, 623, 680, 762 on a calculator?

You can find the GCD of 314, 623, 680, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.