GCD of 598, 788, 45, 296 Calculator

Given Input numbers are 598, 788, 45, 296

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 598, 788, 45, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 788, 45, 296 is 1.

Therefore, GCD of numbers 598, 788, 45, 296 is 1

Given Input Data is 598, 788, 45, 296

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(598, 788) = 235612

GCD(598, 788) = ( 598 x 788 ) / 235612

GCD(598, 788) = 471224 / 235612

GCD(598, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 598, 788, 45, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 898, 72, 601
• GCD of 552, 594, 36, 351
• GCD of 572, 430, 47, 554
• GCD of 897, 658, 66, 662
• GCD of 504, 543, 94, 597

1. What is the GCD of 598, 788, 45, 296?

GCD of 598, 788, 45, 296 is 1

2. Where do I get the detailed procedure to find GCD of 598, 788, 45, 296?

You can find a detailed procedure to find GCD of 598, 788, 45, 296 on our page.

3. How to find GCD of 598, 788, 45, 296 on a calculator?

You can find the GCD of 598, 788, 45, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.