GCD of 840, 707, 60, 923 Calculator

Given Input numbers are 840, 707, 60, 923

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 840, 707, 60, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 707, 60, 923 is 1.

Therefore, GCD of numbers 840, 707, 60, 923 is 1

Given Input Data is 840, 707, 60, 923

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 707 is 7 x 101

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 923 is 13 x 71

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, 707) = 84840

GCD(840, 707) = ( 840 x 707 ) / 84840

GCD(840, 707) = 593880 / 84840

GCD(840, 707) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 60

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

LCM(7, 60) = 420

GCD(7, 60) = ( 7 x 60 ) / 420

GCD(7, 60) = 420 / 420

GCD(7, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 840, 707, 60, 923 is 1

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• GCD of 882, 301, 42, 619
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1. What is the GCD of 840, 707, 60, 923?

GCD of 840, 707, 60, 923 is 1

2. Where do I get the detailed procedure to find GCD of 840, 707, 60, 923?

You can find a detailed procedure to find GCD of 840, 707, 60, 923 on our page.

3. How to find GCD of 840, 707, 60, 923 on a calculator?

You can find the GCD of 840, 707, 60, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.