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 982, 775, 20, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 775, 20, 134 is 1
GCD(982, 775, 20, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 775, 20, 134 is 1
GCD(982, 775, 20, 134) = 1
Given Input numbers are 982, 775, 20, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 982, 775, 20, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 775, 20, 134 is 1.
Therefore, GCD of numbers 982, 775, 20, 134 is 1
Given Input Data is 982, 775, 20, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 134 is 2 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(982, 775) = 761050
GCD(982, 775) = ( 982 x 775 ) / 761050
GCD(982, 775) = 761050 / 761050
GCD(982, 775) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 982, 775, 20, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 775, 20, 134?
GCD of 982, 775, 20, 134 is 1
2. Where do I get the detailed procedure to find GCD of 982, 775, 20, 134?
You can find a detailed procedure to find GCD of 982, 775, 20, 134 on our page.
3. How to find GCD of 982, 775, 20, 134 on a calculator?
You can find the GCD of 982, 775, 20, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.