GCD of 861, 953, 642, 498 Calculator

Given Input numbers are 861, 953, 642, 498

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 861, 953, 642, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 953, 642, 498 is 1.

Therefore, GCD of numbers 861, 953, 642, 498 is 1

Given Input Data is 861, 953, 642, 498

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 953 is 953

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 498 is 2 x 3 x 83

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(861, 953) = 820533

GCD(861, 953) = ( 861 x 953 ) / 820533

GCD(861, 953) = 820533 / 820533

GCD(861, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 861, 953, 642, 498 is 1

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1. What is the GCD of 861, 953, 642, 498?

GCD of 861, 953, 642, 498 is 1

2. Where do I get the detailed procedure to find GCD of 861, 953, 642, 498?

You can find a detailed procedure to find GCD of 861, 953, 642, 498 on our page.

3. How to find GCD of 861, 953, 642, 498 on a calculator?

You can find the GCD of 861, 953, 642, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.