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 250, 141, 708, 998 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 141, 708, 998 is 1
GCD(250, 141, 708, 998) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 141, 708, 998 is 1
GCD(250, 141, 708, 998) = 1
Given Input numbers are 250, 141, 708, 998
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Greatest Common Divisior
We found the divisors of 250, 141, 708, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 141, 708, 998 is 1.
Therefore, GCD of numbers 250, 141, 708, 998 is 1
Given Input Data is 250, 141, 708, 998
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 141 is 3 x 47
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 998 is 2 x 499
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(250, 141) = 35250
GCD(250, 141) = ( 250 x 141 ) / 35250
GCD(250, 141) = 35250 / 35250
GCD(250, 141) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
GCD of 250, 141, 708, 998 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 141, 708, 998?
GCD of 250, 141, 708, 998 is 1
2. Where do I get the detailed procedure to find GCD of 250, 141, 708, 998?
You can find a detailed procedure to find GCD of 250, 141, 708, 998 on our page.
3. How to find GCD of 250, 141, 708, 998 on a calculator?
You can find the GCD of 250, 141, 708, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.