GCD of 90, 842, 160, 769 Calculator

Given Input numbers are 90, 842, 160, 769

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 90, 842, 160, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 842, 160, 769 is 1.

Therefore, GCD of numbers 90, 842, 160, 769 is 1

Given Input Data is 90, 842, 160, 769

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 842 is 2 x 421

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 769 is 769

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, 842) = 37890

GCD(90, 842) = ( 90 x 842 ) / 37890

GCD(90, 842) = 75780 / 37890

GCD(90, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

GCD of 90, 842, 160, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 845, 828, 210
• GCD of 25, 912, 467, 824
• GCD of 34, 315, 618, 568
• GCD of 20, 138, 350, 698
• GCD of 61, 476, 903, 936

1. What is the GCD of 90, 842, 160, 769?

GCD of 90, 842, 160, 769 is 1

2. Where do I get the detailed procedure to find GCD of 90, 842, 160, 769?

You can find a detailed procedure to find GCD of 90, 842, 160, 769 on our page.

3. How to find GCD of 90, 842, 160, 769 on a calculator?

You can find the GCD of 90, 842, 160, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.