GCD of 147, 182, 457, 978 Calculator

Given Input numbers are 147, 182, 457, 978

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

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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 147, 182, 457, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 182, 457, 978 is 1.

Therefore, GCD of numbers 147, 182, 457, 978 is 1

Given Input Data is 147, 182, 457, 978

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 457 is 457

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(147, 182) = 3822

GCD(147, 182) = ( 147 x 182 ) / 3822

GCD(147, 182) = 26754 / 3822

GCD(147, 182) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 457

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

LCM(7, 457) = 3199

GCD(7, 457) = ( 7 x 457 ) / 3199

GCD(7, 457) = 3199 / 3199

GCD(7, 457) = 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 147, 182, 457, 978 is 1

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1. What is the GCD of 147, 182, 457, 978?

GCD of 147, 182, 457, 978 is 1

2. Where do I get the detailed procedure to find GCD of 147, 182, 457, 978?

You can find a detailed procedure to find GCD of 147, 182, 457, 978 on our page.

3. How to find GCD of 147, 182, 457, 978 on a calculator?

You can find the GCD of 147, 182, 457, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.