GCD of 840, 123, 502, 993 Calculator

Given Input numbers are 840, 123, 502, 993

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 840, 123, 502, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 123, 502, 993 is 1.

Therefore, GCD of numbers 840, 123, 502, 993 is 1

Given Input Data is 840, 123, 502, 993

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 123 is 3 x 41

Prime Factorization of 502 is 2 x 251

Prime Factorization of 993 is 3 x 331

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, 123) = 34440

GCD(840, 123) = ( 840 x 123 ) / 34440

GCD(840, 123) = 103320 / 34440

GCD(840, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 502

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

LCM(3, 502) = 1506

GCD(3, 502) = ( 3 x 502 ) / 1506

GCD(3, 502) = 1506 / 1506

GCD(3, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 840, 123, 502, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 676, 831, 958
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• GCD of 688, 385, 653, 460

1. What is the GCD of 840, 123, 502, 993?

GCD of 840, 123, 502, 993 is 1

2. Where do I get the detailed procedure to find GCD of 840, 123, 502, 993?

You can find a detailed procedure to find GCD of 840, 123, 502, 993 on our page.

3. How to find GCD of 840, 123, 502, 993 on a calculator?

You can find the GCD of 840, 123, 502, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.