GCD of 253, 147, 505, 978 Calculator

Given Input numbers are 253, 147, 505, 978

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

Divisors of 253

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

1, 11, 23, 253

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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 253, 147, 505, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 147, 505, 978 is 1.

Therefore, GCD of numbers 253, 147, 505, 978 is 1

Given Input Data is 253, 147, 505, 978

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 505 is 5 x 101

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(253, 147) = 37191

GCD(253, 147) = ( 253 x 147 ) / 37191

GCD(253, 147) = 37191 / 37191

GCD(253, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 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 253, 147, 505, 978 is 1

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1. What is the GCD of 253, 147, 505, 978?

GCD of 253, 147, 505, 978 is 1

2. Where do I get the detailed procedure to find GCD of 253, 147, 505, 978?

You can find a detailed procedure to find GCD of 253, 147, 505, 978 on our page.

3. How to find GCD of 253, 147, 505, 978 on a calculator?

You can find the GCD of 253, 147, 505, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.