GCD of 974, 148, 81, 475 Calculator

Given Input numbers are 974, 148, 81, 475

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 974, 148, 81, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 148, 81, 475 is 1.

Therefore, GCD of numbers 974, 148, 81, 475 is 1

Given Input Data is 974, 148, 81, 475

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 475 is 5 x 5 x 19

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(974, 148) = 72076

GCD(974, 148) = ( 974 x 148 ) / 72076

GCD(974, 148) = 144152 / 72076

GCD(974, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 974, 148, 81, 475 is 1

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• GCD of 346, 703, 71, 180
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1. What is the GCD of 974, 148, 81, 475?

GCD of 974, 148, 81, 475 is 1

2. Where do I get the detailed procedure to find GCD of 974, 148, 81, 475?

You can find a detailed procedure to find GCD of 974, 148, 81, 475 on our page.

3. How to find GCD of 974, 148, 81, 475 on a calculator?

You can find the GCD of 974, 148, 81, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.