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 340, 156, 85, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 156, 85, 152 is 1
GCD(340, 156, 85, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 156, 85, 152 is 1
GCD(340, 156, 85, 152) = 1
Given Input numbers are 340, 156, 85, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 340, 156, 85, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 156, 85, 152 is 1.
Therefore, GCD of numbers 340, 156, 85, 152 is 1
Given Input Data is 340, 156, 85, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 85 is 5 x 17
Prime Factorization of 152 is 2 x 2 x 2 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(340, 156) = 13260
GCD(340, 156) = ( 340 x 156 ) / 13260
GCD(340, 156) = 53040 / 13260
GCD(340, 156) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 85) = 340
GCD(4, 85) = ( 4 x 85 ) / 340
GCD(4, 85) = 340 / 340
GCD(4, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 340, 156, 85, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 156, 85, 152?
GCD of 340, 156, 85, 152 is 1
2. Where do I get the detailed procedure to find GCD of 340, 156, 85, 152?
You can find a detailed procedure to find GCD of 340, 156, 85, 152 on our page.
3. How to find GCD of 340, 156, 85, 152 on a calculator?
You can find the GCD of 340, 156, 85, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.