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 588, 998, 35, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 998, 35, 938 is 1
GCD(588, 998, 35, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 998, 35, 938 is 1
GCD(588, 998, 35, 938) = 1
Given Input numbers are 588, 998, 35, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 588, 998, 35, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 998, 35, 938 is 1.
Therefore, GCD of numbers 588, 998, 35, 938 is 1
Given Input Data is 588, 998, 35, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 998 is 2 x 499
Prime Factorization of 35 is 5 x 7
Prime Factorization of 938 is 2 x 7 x 67
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(588, 998) = 293412
GCD(588, 998) = ( 588 x 998 ) / 293412
GCD(588, 998) = 586824 / 293412
GCD(588, 998) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 35) = 70
GCD(2, 35) = ( 2 x 35 ) / 70
GCD(2, 35) = 70 / 70
GCD(2, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 588, 998, 35, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 998, 35, 938?
GCD of 588, 998, 35, 938 is 1
2. Where do I get the detailed procedure to find GCD of 588, 998, 35, 938?
You can find a detailed procedure to find GCD of 588, 998, 35, 938 on our page.
3. How to find GCD of 588, 998, 35, 938 on a calculator?
You can find the GCD of 588, 998, 35, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.