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 65, 150, 860, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 150, 860, 134 is 1
GCD(65, 150, 860, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 150, 860, 134 is 1
GCD(65, 150, 860, 134) = 1
Given Input numbers are 65, 150, 860, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 65, 150, 860, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 150, 860, 134 is 1.
Therefore, GCD of numbers 65, 150, 860, 134 is 1
Given Input Data is 65, 150, 860, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 134 is 2 x 67
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(65, 150) = 1950
GCD(65, 150) = ( 65 x 150 ) / 1950
GCD(65, 150) = 9750 / 1950
GCD(65, 150) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 860) = 860
GCD(5, 860) = ( 5 x 860 ) / 860
GCD(5, 860) = 4300 / 860
GCD(5, 860) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 134) = 670
GCD(5, 134) = ( 5 x 134 ) / 670
GCD(5, 134) = 670 / 670
GCD(5, 134) = 1
GCD of 65, 150, 860, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 150, 860, 134?
GCD of 65, 150, 860, 134 is 1
2. Where do I get the detailed procedure to find GCD of 65, 150, 860, 134?
You can find a detailed procedure to find GCD of 65, 150, 860, 134 on our page.
3. How to find GCD of 65, 150, 860, 134 on a calculator?
You can find the GCD of 65, 150, 860, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.