GCD of 40, 164, 978, 253 Calculator

Given Input numbers are 40, 164, 978, 253

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 978

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

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 40, 164, 978, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 164, 978, 253 is 1.

Therefore, GCD of numbers 40, 164, 978, 253 is 1

Given Input Data is 40, 164, 978, 253

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 253 is 11 x 23

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(40, 164) = 1640

GCD(40, 164) = ( 40 x 164 ) / 1640

GCD(40, 164) = 6560 / 1640

GCD(40, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 978

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

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

GCD(4, 978) = 3912 / 1956

GCD(4, 978) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 40, 164, 978, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 957, 214, 341
• GCD of 60, 981, 145, 388
• GCD of 88, 992, 844, 521
• GCD of 31, 262, 565, 940
• GCD of 85, 388, 650, 825

1. What is the GCD of 40, 164, 978, 253?

GCD of 40, 164, 978, 253 is 1

2. Where do I get the detailed procedure to find GCD of 40, 164, 978, 253?

You can find a detailed procedure to find GCD of 40, 164, 978, 253 on our page.

3. How to find GCD of 40, 164, 978, 253 on a calculator?

You can find the GCD of 40, 164, 978, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.