GCD of 469, 169, 24, 978 Calculator

Given Input numbers are 469, 169, 24, 978

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 469, 169, 24, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 169, 24, 978 is 1.

Therefore, GCD of numbers 469, 169, 24, 978 is 1

Given Input Data is 469, 169, 24, 978

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 169 is 13 x 13

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 978 is 2 x 3 x 163

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(469, 169) = 79261

GCD(469, 169) = ( 469 x 169 ) / 79261

GCD(469, 169) = 79261 / 79261

GCD(469, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 469, 169, 24, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 610, 16, 516
• GCD of 673, 932, 14, 776
• GCD of 827, 819, 97, 972
• GCD of 550, 940, 89, 362
• GCD of 531, 794, 22, 372

1. What is the GCD of 469, 169, 24, 978?

GCD of 469, 169, 24, 978 is 1

2. Where do I get the detailed procedure to find GCD of 469, 169, 24, 978?

You can find a detailed procedure to find GCD of 469, 169, 24, 978 on our page.

3. How to find GCD of 469, 169, 24, 978 on a calculator?

You can find the GCD of 469, 169, 24, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.