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 152, 158, 61, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 158, 61, 298 is 1
GCD(152, 158, 61, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 158, 61, 298 is 1
GCD(152, 158, 61, 298) = 1
Given Input numbers are 152, 158, 61, 298
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 152, 158, 61, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 158, 61, 298 is 1.
Therefore, GCD of numbers 152, 158, 61, 298 is 1
Given Input Data is 152, 158, 61, 298
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 158 is 2 x 79
Prime Factorization of 61 is 61
Prime Factorization of 298 is 2 x 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(152, 158) = 12008
GCD(152, 158) = ( 152 x 158 ) / 12008
GCD(152, 158) = 24016 / 12008
GCD(152, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
GCD(1, 298) = 298 / 298
GCD(1, 298) = 1
GCD of 152, 158, 61, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 158, 61, 298?
GCD of 152, 158, 61, 298 is 1
2. Where do I get the detailed procedure to find GCD of 152, 158, 61, 298?
You can find a detailed procedure to find GCD of 152, 158, 61, 298 on our page.
3. How to find GCD of 152, 158, 61, 298 on a calculator?
You can find the GCD of 152, 158, 61, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.