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 142, 454, 98, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 454, 98, 969 is 1
GCD(142, 454, 98, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 454, 98, 969 is 1
GCD(142, 454, 98, 969) = 1
Given Input numbers are 142, 454, 98, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 142, 454, 98, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 454, 98, 969 is 1.
Therefore, GCD of numbers 142, 454, 98, 969 is 1
Given Input Data is 142, 454, 98, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 454 is 2 x 227
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 969 is 3 x 17 x 19
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(142, 454) = 32234
GCD(142, 454) = ( 142 x 454 ) / 32234
GCD(142, 454) = 64468 / 32234
GCD(142, 454) = 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 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 969) = 1938
GCD(2, 969) = ( 2 x 969 ) / 1938
GCD(2, 969) = 1938 / 1938
GCD(2, 969) = 1
GCD of 142, 454, 98, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 454, 98, 969?
GCD of 142, 454, 98, 969 is 1
2. Where do I get the detailed procedure to find GCD of 142, 454, 98, 969?
You can find a detailed procedure to find GCD of 142, 454, 98, 969 on our page.
3. How to find GCD of 142, 454, 98, 969 on a calculator?
You can find the GCD of 142, 454, 98, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.