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 162, 988, 98, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 988, 98, 763 is 1
GCD(162, 988, 98, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 988, 98, 763 is 1
GCD(162, 988, 98, 763) = 1
Given Input numbers are 162, 988, 98, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 162, 988, 98, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 988, 98, 763 is 1.
Therefore, GCD of numbers 162, 988, 98, 763 is 1
Given Input Data is 162, 988, 98, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 763 is 7 x 109
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(162, 988) = 80028
GCD(162, 988) = ( 162 x 988 ) / 80028
GCD(162, 988) = 160056 / 80028
GCD(162, 988) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 763) = 1526
GCD(2, 763) = ( 2 x 763 ) / 1526
GCD(2, 763) = 1526 / 1526
GCD(2, 763) = 1
GCD of 162, 988, 98, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 988, 98, 763?
GCD of 162, 988, 98, 763 is 1
2. Where do I get the detailed procedure to find GCD of 162, 988, 98, 763?
You can find a detailed procedure to find GCD of 162, 988, 98, 763 on our page.
3. How to find GCD of 162, 988, 98, 763 on a calculator?
You can find the GCD of 162, 988, 98, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.