GCD of 854, 692, 684, 993 Calculator

Given Input numbers are 854, 692, 684, 993

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 854, 692, 684, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 692, 684, 993 is 1.

Therefore, GCD of numbers 854, 692, 684, 993 is 1

Given Input Data is 854, 692, 684, 993

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(854, 692) = 295484

GCD(854, 692) = ( 854 x 692 ) / 295484

GCD(854, 692) = 590968 / 295484

GCD(854, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 1

GCD of 854, 692, 684, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 270, 563, 136
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• GCD of 173, 924, 728, 743
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• GCD of 738, 995, 867, 579

1. What is the GCD of 854, 692, 684, 993?

GCD of 854, 692, 684, 993 is 1

2. Where do I get the detailed procedure to find GCD of 854, 692, 684, 993?

You can find a detailed procedure to find GCD of 854, 692, 684, 993 on our page.

3. How to find GCD of 854, 692, 684, 993 on a calculator?

You can find the GCD of 854, 692, 684, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.