GCD of 147, 157, 144, 984 Calculator

Given Input numbers are 147, 157, 144, 984

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 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 147, 157, 144, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 157, 144, 984 is 1.

Therefore, GCD of numbers 147, 157, 144, 984 is 1

Given Input Data is 147, 157, 144, 984

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 157 is 157

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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, 157) = 23079

GCD(147, 157) = ( 147 x 157 ) / 23079

GCD(147, 157) = 23079 / 23079

GCD(147, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 147, 157, 144, 984 is 1

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1. What is the GCD of 147, 157, 144, 984?

GCD of 147, 157, 144, 984 is 1

2. Where do I get the detailed procedure to find GCD of 147, 157, 144, 984?

You can find a detailed procedure to find GCD of 147, 157, 144, 984 on our page.

3. How to find GCD of 147, 157, 144, 984 on a calculator?

You can find the GCD of 147, 157, 144, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.