GCD of 83, 840, 722, 294 Calculator

Given Input numbers are 83, 840, 722, 294

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 83, 840, 722, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 840, 722, 294 is 1.

Therefore, GCD of numbers 83, 840, 722, 294 is 1

Given Input Data is 83, 840, 722, 294

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

Prime Factorization of 83 is 83

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 294 is 2 x 3 x 7 x 7

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, 840) = 69720

GCD(83, 840) = ( 83 x 840 ) / 69720

GCD(83, 840) = 69720 / 69720

GCD(83, 840) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 83, 840, 722, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 417, 156, 186
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• GCD of 35, 501, 675, 822
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• GCD of 71, 899, 235, 468

1. What is the GCD of 83, 840, 722, 294?

GCD of 83, 840, 722, 294 is 1

2. Where do I get the detailed procedure to find GCD of 83, 840, 722, 294?

You can find a detailed procedure to find GCD of 83, 840, 722, 294 on our page.

3. How to find GCD of 83, 840, 722, 294 on a calculator?

You can find the GCD of 83, 840, 722, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.