Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 598, 298, 659, 486 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 298, 659, 486 is 1
GCD(598, 298, 659, 486) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 298, 659, 486 is 1
GCD(598, 298, 659, 486) = 1
Given Input numbers are 598, 298, 659, 486
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 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Greatest Common Divisior
We found the divisors of 598, 298, 659, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 298, 659, 486 is 1.
Therefore, GCD of numbers 598, 298, 659, 486 is 1
Given Input Data is 598, 298, 659, 486
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 298 is 2 x 149
Prime Factorization of 659 is 659
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
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, 298) = 89102
GCD(598, 298) = ( 598 x 298 ) / 89102
GCD(598, 298) = 178204 / 89102
GCD(598, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 659) = 1318
GCD(2, 659) = ( 2 x 659 ) / 1318
GCD(2, 659) = 1318 / 1318
GCD(2, 659) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 486) = 486
GCD(1, 486) = ( 1 x 486 ) / 486
GCD(1, 486) = 486 / 486
GCD(1, 486) = 1
GCD of 598, 298, 659, 486 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 298, 659, 486?
GCD of 598, 298, 659, 486 is 1
2. Where do I get the detailed procedure to find GCD of 598, 298, 659, 486?
You can find a detailed procedure to find GCD of 598, 298, 659, 486 on our page.
3. How to find GCD of 598, 298, 659, 486 on a calculator?
You can find the GCD of 598, 298, 659, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.