GCD of 152, 577, 398, 654 Calculator

Given Input numbers are 152, 577, 398, 654

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 152, 577, 398, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 577, 398, 654 is 1.

Therefore, GCD of numbers 152, 577, 398, 654 is 1

Given Input Data is 152, 577, 398, 654

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 577 is 577

Prime Factorization of 398 is 2 x 199

Prime Factorization of 654 is 2 x 3 x 109

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(152, 577) = 87704

GCD(152, 577) = ( 152 x 577 ) / 87704

GCD(152, 577) = 87704 / 87704

GCD(152, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 152, 577, 398, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 756, 512, 980
• GCD of 340, 632, 874, 576
• GCD of 493, 341, 255, 500
• GCD of 601, 621, 942, 617
• GCD of 630, 148, 801, 737

1. What is the GCD of 152, 577, 398, 654?

GCD of 152, 577, 398, 654 is 1

2. Where do I get the detailed procedure to find GCD of 152, 577, 398, 654?

You can find a detailed procedure to find GCD of 152, 577, 398, 654 on our page.

3. How to find GCD of 152, 577, 398, 654 on a calculator?

You can find the GCD of 152, 577, 398, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.