GCD of 752, 862, 364, 689 Calculator

Given Input numbers are 752, 862, 364, 689

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 752, 862, 364, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 862, 364, 689 is 1.

Therefore, GCD of numbers 752, 862, 364, 689 is 1

Given Input Data is 752, 862, 364, 689

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 862 is 2 x 431

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 689 is 13 x 53

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(752, 862) = 324112

GCD(752, 862) = ( 752 x 862 ) / 324112

GCD(752, 862) = 648224 / 324112

GCD(752, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 752, 862, 364, 689 is 1

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1. What is the GCD of 752, 862, 364, 689?

GCD of 752, 862, 364, 689 is 1

2. Where do I get the detailed procedure to find GCD of 752, 862, 364, 689?

You can find a detailed procedure to find GCD of 752, 862, 364, 689 on our page.

3. How to find GCD of 752, 862, 364, 689 on a calculator?

You can find the GCD of 752, 862, 364, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.