GCD of 762, 731, 345, 868 Calculator

Given Input numbers are 762, 731, 345, 868

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

Divisors of 762

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

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

Divisors of 731

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

1, 17, 43, 731

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 762, 731, 345, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 731, 345, 868 is 1.

Therefore, GCD of numbers 762, 731, 345, 868 is 1

Given Input Data is 762, 731, 345, 868

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 731 is 17 x 43

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(762, 731) = 557022

GCD(762, 731) = ( 762 x 731 ) / 557022

GCD(762, 731) = 557022 / 557022

GCD(762, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 762, 731, 345, 868 is 1

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1. What is the GCD of 762, 731, 345, 868?

GCD of 762, 731, 345, 868 is 1

2. Where do I get the detailed procedure to find GCD of 762, 731, 345, 868?

You can find a detailed procedure to find GCD of 762, 731, 345, 868 on our page.

3. How to find GCD of 762, 731, 345, 868 on a calculator?

You can find the GCD of 762, 731, 345, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.