GCD of 148, 973, 948, 494 Calculator

Given Input numbers are 148, 973, 948, 494

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

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 148, 973, 948, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 973, 948, 494 is 1.

Therefore, GCD of numbers 148, 973, 948, 494 is 1

Given Input Data is 148, 973, 948, 494

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 973 is 7 x 139

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 494 is 2 x 13 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(148, 973) = 144004

GCD(148, 973) = ( 148 x 973 ) / 144004

GCD(148, 973) = 144004 / 144004

GCD(148, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 148, 973, 948, 494 is 1

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• GCD of 954, 456, 925, 617
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1. What is the GCD of 148, 973, 948, 494?

GCD of 148, 973, 948, 494 is 1

2. Where do I get the detailed procedure to find GCD of 148, 973, 948, 494?

You can find a detailed procedure to find GCD of 148, 973, 948, 494 on our page.

3. How to find GCD of 148, 973, 948, 494 on a calculator?

You can find the GCD of 148, 973, 948, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.