GCD of 488, 148, 944, 735 Calculator

Given Input numbers are 488, 148, 944, 735

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 488, 148, 944, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 148, 944, 735 is 1.

Therefore, GCD of numbers 488, 148, 944, 735 is 1

Given Input Data is 488, 148, 944, 735

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(488, 148) = 18056

GCD(488, 148) = ( 488 x 148 ) / 18056

GCD(488, 148) = 72224 / 18056

GCD(488, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 944

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

LCM(4, 944) = 944

GCD(4, 944) = ( 4 x 944 ) / 944

GCD(4, 944) = 3776 / 944

GCD(4, 944) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 735

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

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

GCD(4, 735) = 2940 / 2940

GCD(4, 735) = 1

GCD of 488, 148, 944, 735 is 1

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1. What is the GCD of 488, 148, 944, 735?

GCD of 488, 148, 944, 735 is 1

2. Where do I get the detailed procedure to find GCD of 488, 148, 944, 735?

You can find a detailed procedure to find GCD of 488, 148, 944, 735 on our page.

3. How to find GCD of 488, 148, 944, 735 on a calculator?

You can find the GCD of 488, 148, 944, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.