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, 626, 89, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 626, 89, 912 is 1
GCD(142, 626, 89, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 626, 89, 912 is 1
GCD(142, 626, 89, 912) = 1
Given Input numbers are 142, 626, 89, 912
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 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 142, 626, 89, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 626, 89, 912 is 1.
Therefore, GCD of numbers 142, 626, 89, 912 is 1
Given Input Data is 142, 626, 89, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 626 is 2 x 313
Prime Factorization of 89 is 89
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 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, 626) = 44446
GCD(142, 626) = ( 142 x 626 ) / 44446
GCD(142, 626) = 88892 / 44446
GCD(142, 626) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 142, 626, 89, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 626, 89, 912?
GCD of 142, 626, 89, 912 is 1
2. Where do I get the detailed procedure to find GCD of 142, 626, 89, 912?
You can find a detailed procedure to find GCD of 142, 626, 89, 912 on our page.
3. How to find GCD of 142, 626, 89, 912 on a calculator?
You can find the GCD of 142, 626, 89, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.