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 346, 596, 240, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 596, 240, 553 is 1
GCD(346, 596, 240, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 596, 240, 553 is 1
GCD(346, 596, 240, 553) = 1
Given Input numbers are 346, 596, 240, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 346, 596, 240, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 596, 240, 553 is 1.
Therefore, GCD of numbers 346, 596, 240, 553 is 1
Given Input Data is 346, 596, 240, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 553 is 7 x 79
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(346, 596) = 103108
GCD(346, 596) = ( 346 x 596 ) / 103108
GCD(346, 596) = 206216 / 103108
GCD(346, 596) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 240) = 240
GCD(2, 240) = ( 2 x 240 ) / 240
GCD(2, 240) = 480 / 240
GCD(2, 240) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 553) = 1106
GCD(2, 553) = ( 2 x 553 ) / 1106
GCD(2, 553) = 1106 / 1106
GCD(2, 553) = 1
GCD of 346, 596, 240, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 596, 240, 553?
GCD of 346, 596, 240, 553 is 1
2. Where do I get the detailed procedure to find GCD of 346, 596, 240, 553?
You can find a detailed procedure to find GCD of 346, 596, 240, 553 on our page.
3. How to find GCD of 346, 596, 240, 553 on a calculator?
You can find the GCD of 346, 596, 240, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.