GCD of 973, 840, 22, 380 Calculator

Given Input numbers are 973, 840, 22, 380

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

Divisors of 973

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

1, 7, 139, 973

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 973, 840, 22, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 840, 22, 380 is 1.

Therefore, GCD of numbers 973, 840, 22, 380 is 1

Given Input Data is 973, 840, 22, 380

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

Prime Factorization of 973 is 7 x 139

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(973, 840) = 116760

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

GCD(973, 840) = 817320 / 116760

GCD(973, 840) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 22

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

LCM(7, 22) = 154

GCD(7, 22) = ( 7 x 22 ) / 154

GCD(7, 22) = 154 / 154

GCD(7, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 973, 840, 22, 380 is 1

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1. What is the GCD of 973, 840, 22, 380?

GCD of 973, 840, 22, 380 is 1

2. Where do I get the detailed procedure to find GCD of 973, 840, 22, 380?

You can find a detailed procedure to find GCD of 973, 840, 22, 380 on our page.

3. How to find GCD of 973, 840, 22, 380 on a calculator?

You can find the GCD of 973, 840, 22, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.