GCD of 90, 763, 345, 902 Calculator

Given Input numbers are 90, 763, 345, 902

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 763

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

1, 7, 109, 763

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 90, 763, 345, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 763, 345, 902 is 1.

Therefore, GCD of numbers 90, 763, 345, 902 is 1

Given Input Data is 90, 763, 345, 902

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 763 is 7 x 109

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 902 is 2 x 11 x 41

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(90, 763) = 68670

GCD(90, 763) = ( 90 x 763 ) / 68670

GCD(90, 763) = 68670 / 68670

GCD(90, 763) = 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 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 90, 763, 345, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 762, 763, 497
• GCD of 79, 365, 166, 776
• GCD of 71, 195, 489, 266
• GCD of 37, 669, 737, 847
• GCD of 54, 865, 862, 205

1. What is the GCD of 90, 763, 345, 902?

GCD of 90, 763, 345, 902 is 1

2. Where do I get the detailed procedure to find GCD of 90, 763, 345, 902?

You can find a detailed procedure to find GCD of 90, 763, 345, 902 on our page.

3. How to find GCD of 90, 763, 345, 902 on a calculator?

You can find the GCD of 90, 763, 345, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.