GCD of 840, 973, 85, 301 Calculator

Given Input numbers are 840, 973, 85, 301

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

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 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 840, 973, 85, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 973, 85, 301 is 1.

Therefore, GCD of numbers 840, 973, 85, 301 is 1

Given Input Data is 840, 973, 85, 301

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

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 85 is 5 x 17

Prime Factorization of 301 is 7 x 43

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(840, 973) = 116760

GCD(840, 973) = ( 840 x 973 ) / 116760

GCD(840, 973) = 817320 / 116760

GCD(840, 973) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 85

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

LCM(7, 85) = 595

GCD(7, 85) = ( 7 x 85 ) / 595

GCD(7, 85) = 595 / 595

GCD(7, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 840, 973, 85, 301 is 1

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• GCD of 579, 531, 97, 199
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1. What is the GCD of 840, 973, 85, 301?

GCD of 840, 973, 85, 301 is 1

2. Where do I get the detailed procedure to find GCD of 840, 973, 85, 301?

You can find a detailed procedure to find GCD of 840, 973, 85, 301 on our page.

3. How to find GCD of 840, 973, 85, 301 on a calculator?

You can find the GCD of 840, 973, 85, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.