GCD of 148, 673, 783, 614 Calculator

Given Input numbers are 148, 673, 783, 614

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 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 148, 673, 783, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 673, 783, 614 is 1.

Therefore, GCD of numbers 148, 673, 783, 614 is 1

Given Input Data is 148, 673, 783, 614

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 673 is 673

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 614 is 2 x 307

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, 673) = 99604

GCD(148, 673) = ( 148 x 673 ) / 99604

GCD(148, 673) = 99604 / 99604

GCD(148, 673) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 148, 673, 783, 614 is 1

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1. What is the GCD of 148, 673, 783, 614?

GCD of 148, 673, 783, 614 is 1

2. Where do I get the detailed procedure to find GCD of 148, 673, 783, 614?

You can find a detailed procedure to find GCD of 148, 673, 783, 614 on our page.

3. How to find GCD of 148, 673, 783, 614 on a calculator?

You can find the GCD of 148, 673, 783, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.