GCD of 969, 603, 689, 498 Calculator

Given Input numbers are 969, 603, 689, 498

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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 969, 603, 689, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 603, 689, 498 is 1.

Therefore, GCD of numbers 969, 603, 689, 498 is 1

Given Input Data is 969, 603, 689, 498

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 689 is 13 x 53

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(969, 603) = 194769

GCD(969, 603) = ( 969 x 603 ) / 194769

GCD(969, 603) = 584307 / 194769

GCD(969, 603) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 689

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

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

GCD(3, 689) = 2067 / 2067

GCD(3, 689) = 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 969, 603, 689, 498 is 1

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1. What is the GCD of 969, 603, 689, 498?

GCD of 969, 603, 689, 498 is 1

2. Where do I get the detailed procedure to find GCD of 969, 603, 689, 498?

You can find a detailed procedure to find GCD of 969, 603, 689, 498 on our page.

3. How to find GCD of 969, 603, 689, 498 on a calculator?

You can find the GCD of 969, 603, 689, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.