GCD of 283, 400, 95, 769 Calculator

Given Input numbers are 283, 400, 95, 769

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

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 283, 400, 95, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 400, 95, 769 is 1.

Therefore, GCD of numbers 283, 400, 95, 769 is 1

Given Input Data is 283, 400, 95, 769

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

Prime Factorization of 283 is 283

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 95 is 5 x 19

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(283, 400) = 113200

GCD(283, 400) = ( 283 x 400 ) / 113200

GCD(283, 400) = 113200 / 113200

GCD(283, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 95

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

LCM(1, 95) = 95

GCD(1, 95) = ( 1 x 95 ) / 95

GCD(1, 95) = 95 / 95

GCD(1, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 283, 400, 95, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 853, 60, 663
• GCD of 828, 428, 67, 973
• GCD of 560, 650, 72, 471
• GCD of 253, 288, 61, 471
• GCD of 550, 854, 46, 927

1. What is the GCD of 283, 400, 95, 769?

GCD of 283, 400, 95, 769 is 1

2. Where do I get the detailed procedure to find GCD of 283, 400, 95, 769?

You can find a detailed procedure to find GCD of 283, 400, 95, 769 on our page.

3. How to find GCD of 283, 400, 95, 769 on a calculator?

You can find the GCD of 283, 400, 95, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.