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 452, 634, 92, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 452, 634, 92, 149 is 1
GCD(452, 634, 92, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 452, 634, 92, 149 is 1
GCD(452, 634, 92, 149) = 1
Given Input numbers are 452, 634, 92, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 452, 634, 92, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 634, 92, 149 is 1.
Therefore, GCD of numbers 452, 634, 92, 149 is 1
Given Input Data is 452, 634, 92, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 634 is 2 x 317
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 149 is 149
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(452, 634) = 143284
GCD(452, 634) = ( 452 x 634 ) / 143284
GCD(452, 634) = 286568 / 143284
GCD(452, 634) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 92) = 92
GCD(2, 92) = ( 2 x 92 ) / 92
GCD(2, 92) = 184 / 92
GCD(2, 92) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
GCD(2, 149) = 298 / 298
GCD(2, 149) = 1
GCD of 452, 634, 92, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 452, 634, 92, 149?
GCD of 452, 634, 92, 149 is 1
2. Where do I get the detailed procedure to find GCD of 452, 634, 92, 149?
You can find a detailed procedure to find GCD of 452, 634, 92, 149 on our page.
3. How to find GCD of 452, 634, 92, 149 on a calculator?
You can find the GCD of 452, 634, 92, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.