GCD of 147, 789, 974, 253 Calculator

Given Input numbers are 147, 789, 974, 253

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

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 147, 789, 974, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 789, 974, 253 is 1.

Therefore, GCD of numbers 147, 789, 974, 253 is 1

Given Input Data is 147, 789, 974, 253

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 789 is 3 x 263

Prime Factorization of 974 is 2 x 487

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(147, 789) = 38661

GCD(147, 789) = ( 147 x 789 ) / 38661

GCD(147, 789) = 115983 / 38661

GCD(147, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 974

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

LCM(3, 974) = 2922

GCD(3, 974) = ( 3 x 974 ) / 2922

GCD(3, 974) = 2922 / 2922

GCD(3, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 147, 789, 974, 253 is 1

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1. What is the GCD of 147, 789, 974, 253?

GCD of 147, 789, 974, 253 is 1

2. Where do I get the detailed procedure to find GCD of 147, 789, 974, 253?

You can find a detailed procedure to find GCD of 147, 789, 974, 253 on our page.

3. How to find GCD of 147, 789, 974, 253 on a calculator?

You can find the GCD of 147, 789, 974, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.