GCD of 989, 523, 85, 763 Calculator

Given Input numbers are 989, 523, 85, 763

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 989, 523, 85, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 523, 85, 763 is 1.

Therefore, GCD of numbers 989, 523, 85, 763 is 1

Given Input Data is 989, 523, 85, 763

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 523 is 523

Prime Factorization of 85 is 5 x 17

Prime Factorization of 763 is 7 x 109

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(989, 523) = 517247

GCD(989, 523) = ( 989 x 523 ) / 517247

GCD(989, 523) = 517247 / 517247

GCD(989, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 989, 523, 85, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 642, 22, 546
• GCD of 762, 465, 71, 560
• GCD of 989, 822, 89, 740
• GCD of 847, 738, 30, 466
• GCD of 121, 188, 33, 426

1. What is the GCD of 989, 523, 85, 763?

GCD of 989, 523, 85, 763 is 1

2. Where do I get the detailed procedure to find GCD of 989, 523, 85, 763?

You can find a detailed procedure to find GCD of 989, 523, 85, 763 on our page.

3. How to find GCD of 989, 523, 85, 763 on a calculator?

You can find the GCD of 989, 523, 85, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.