GCD of 83, 760, 378, 469 Calculator

Given Input numbers are 83, 760, 378, 469

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 83, 760, 378, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 760, 378, 469 is 1.

Therefore, GCD of numbers 83, 760, 378, 469 is 1

Given Input Data is 83, 760, 378, 469

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

Prime Factorization of 83 is 83

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 469 is 7 x 67

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(83, 760) = 63080

GCD(83, 760) = ( 83 x 760 ) / 63080

GCD(83, 760) = 63080 / 63080

GCD(83, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 83, 760, 378, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 910, 495, 701
• GCD of 63, 514, 418, 437
• GCD of 55, 168, 257, 576
• GCD of 37, 429, 350, 385
• GCD of 61, 194, 123, 188

1. What is the GCD of 83, 760, 378, 469?

GCD of 83, 760, 378, 469 is 1

2. Where do I get the detailed procedure to find GCD of 83, 760, 378, 469?

You can find a detailed procedure to find GCD of 83, 760, 378, 469 on our page.

3. How to find GCD of 83, 760, 378, 469 on a calculator?

You can find the GCD of 83, 760, 378, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.