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 965, 380, 34, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 965, 380, 34, 386 is 1
GCD(965, 380, 34, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 965, 380, 34, 386 is 1
GCD(965, 380, 34, 386) = 1
Given Input numbers are 965, 380, 34, 386
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 965, 380, 34, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 380, 34, 386 is 1.
Therefore, GCD of numbers 965, 380, 34, 386 is 1
Given Input Data is 965, 380, 34, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 965 is 5 x 193
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 34 is 2 x 17
Prime Factorization of 386 is 2 x 193
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(965, 380) = 73340
GCD(965, 380) = ( 965 x 380 ) / 73340
GCD(965, 380) = 366700 / 73340
GCD(965, 380) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 34) = 170
GCD(5, 34) = ( 5 x 34 ) / 170
GCD(5, 34) = 170 / 170
GCD(5, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 965, 380, 34, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 965, 380, 34, 386?
GCD of 965, 380, 34, 386 is 1
2. Where do I get the detailed procedure to find GCD of 965, 380, 34, 386?
You can find a detailed procedure to find GCD of 965, 380, 34, 386 on our page.
3. How to find GCD of 965, 380, 34, 386 on a calculator?
You can find the GCD of 965, 380, 34, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.