GCD of 988, 840, 786, 223 Calculator

Given Input numbers are 988, 840, 786, 223

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 988, 840, 786, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 840, 786, 223 is 1.

Therefore, GCD of numbers 988, 840, 786, 223 is 1

Given Input Data is 988, 840, 786, 223

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 223 is 223

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(988, 840) = 207480

GCD(988, 840) = ( 988 x 840 ) / 207480

GCD(988, 840) = 829920 / 207480

GCD(988, 840) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 786

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

LCM(4, 786) = 1572

GCD(4, 786) = ( 4 x 786 ) / 1572

GCD(4, 786) = 3144 / 1572

GCD(4, 786) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 223

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

LCM(2, 223) = 446

GCD(2, 223) = ( 2 x 223 ) / 446

GCD(2, 223) = 446 / 446

GCD(2, 223) = 1

GCD of 988, 840, 786, 223 is 1

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1. What is the GCD of 988, 840, 786, 223?

GCD of 988, 840, 786, 223 is 1

2. Where do I get the detailed procedure to find GCD of 988, 840, 786, 223?

You can find a detailed procedure to find GCD of 988, 840, 786, 223 on our page.

3. How to find GCD of 988, 840, 786, 223 on a calculator?

You can find the GCD of 988, 840, 786, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.