GCD of 498, 827, 786, 694 Calculator

Given Input numbers are 498, 827, 786, 694

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 498, 827, 786, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 827, 786, 694 is 1.

Therefore, GCD of numbers 498, 827, 786, 694 is 1

Given Input Data is 498, 827, 786, 694

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 827 is 827

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 694 is 2 x 347

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(498, 827) = 411846

GCD(498, 827) = ( 498 x 827 ) / 411846

GCD(498, 827) = 411846 / 411846

GCD(498, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 498, 827, 786, 694 is 1

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1. What is the GCD of 498, 827, 786, 694?

GCD of 498, 827, 786, 694 is 1

2. Where do I get the detailed procedure to find GCD of 498, 827, 786, 694?

You can find a detailed procedure to find GCD of 498, 827, 786, 694 on our page.

3. How to find GCD of 498, 827, 786, 694 on a calculator?

You can find the GCD of 498, 827, 786, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.