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, 153, 346, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 153, 346, 337 is 1
GCD(65, 153, 346, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 153, 346, 337 is 1
GCD(65, 153, 346, 337) = 1
Given Input numbers are 65, 153, 346, 337
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 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 65, 153, 346, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 153, 346, 337 is 1.
Therefore, GCD of numbers 65, 153, 346, 337 is 1
Given Input Data is 65, 153, 346, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 346 is 2 x 173
Prime Factorization of 337 is 337
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, 153) = 9945
GCD(65, 153) = ( 65 x 153 ) / 9945
GCD(65, 153) = 9945 / 9945
GCD(65, 153) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
GCD of 65, 153, 346, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 153, 346, 337?
GCD of 65, 153, 346, 337 is 1
2. Where do I get the detailed procedure to find GCD of 65, 153, 346, 337?
You can find a detailed procedure to find GCD of 65, 153, 346, 337 on our page.
3. How to find GCD of 65, 153, 346, 337 on a calculator?
You can find the GCD of 65, 153, 346, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.