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 158, 203, 31, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 158, 203, 31, 769 is 1
GCD(158, 203, 31, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 158, 203, 31, 769 is 1
GCD(158, 203, 31, 769) = 1
Given Input numbers are 158, 203, 31, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 158, 203, 31, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 203, 31, 769 is 1.
Therefore, GCD of numbers 158, 203, 31, 769 is 1
Given Input Data is 158, 203, 31, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 158 is 2 x 79
Prime Factorization of 203 is 7 x 29
Prime Factorization of 31 is 31
Prime Factorization of 769 is 769
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(158, 203) = 32074
GCD(158, 203) = ( 158 x 203 ) / 32074
GCD(158, 203) = 32074 / 32074
GCD(158, 203) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 158, 203, 31, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 158, 203, 31, 769?
GCD of 158, 203, 31, 769 is 1
2. Where do I get the detailed procedure to find GCD of 158, 203, 31, 769?
You can find a detailed procedure to find GCD of 158, 203, 31, 769 on our page.
3. How to find GCD of 158, 203, 31, 769 on a calculator?
You can find the GCD of 158, 203, 31, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.