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 319, 464, 852, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 464, 852, 151 is 1
GCD(319, 464, 852, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 464, 852, 151 is 1
GCD(319, 464, 852, 151) = 1
Given Input numbers are 319, 464, 852, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 319, 464, 852, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 464, 852, 151 is 1.
Therefore, GCD of numbers 319, 464, 852, 151 is 1
Given Input Data is 319, 464, 852, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 151 is 151
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(319, 464) = 5104
GCD(319, 464) = ( 319 x 464 ) / 5104
GCD(319, 464) = 148016 / 5104
GCD(319, 464) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 852) = 24708
GCD(29, 852) = ( 29 x 852 ) / 24708
GCD(29, 852) = 24708 / 24708
GCD(29, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 151) = 151
GCD(1, 151) = ( 1 x 151 ) / 151
GCD(1, 151) = 151 / 151
GCD(1, 151) = 1
GCD of 319, 464, 852, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 319, 464, 852, 151?
GCD of 319, 464, 852, 151 is 1
2. Where do I get the detailed procedure to find GCD of 319, 464, 852, 151?
You can find a detailed procedure to find GCD of 319, 464, 852, 151 on our page.
3. How to find GCD of 319, 464, 852, 151 on a calculator?
You can find the GCD of 319, 464, 852, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.