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 98, 967, 891, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 967, 891, 102 is 1
GCD(98, 967, 891, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 967, 891, 102 is 1
GCD(98, 967, 891, 102) = 1
Given Input numbers are 98, 967, 891, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 98, 967, 891, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 967, 891, 102 is 1.
Therefore, GCD of numbers 98, 967, 891, 102 is 1
Given Input Data is 98, 967, 891, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 967 is 967
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 102 is 2 x 3 x 17
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(98, 967) = 94766
GCD(98, 967) = ( 98 x 967 ) / 94766
GCD(98, 967) = 94766 / 94766
GCD(98, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 98, 967, 891, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 967, 891, 102?
GCD of 98, 967, 891, 102 is 1
2. Where do I get the detailed procedure to find GCD of 98, 967, 891, 102?
You can find a detailed procedure to find GCD of 98, 967, 891, 102 on our page.
3. How to find GCD of 98, 967, 891, 102 on a calculator?
You can find the GCD of 98, 967, 891, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.