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 352, 626, 121, 872 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 626, 121, 872 is 1
GCD(352, 626, 121, 872) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 626, 121, 872 is 1
GCD(352, 626, 121, 872) = 1
Given Input numbers are 352, 626, 121, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 352, 626, 121, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 626, 121, 872 is 1.
Therefore, GCD of numbers 352, 626, 121, 872 is 1
Given Input Data is 352, 626, 121, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 626 is 2 x 313
Prime Factorization of 121 is 11 x 11
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(352, 626) = 110176
GCD(352, 626) = ( 352 x 626 ) / 110176
GCD(352, 626) = 220352 / 110176
GCD(352, 626) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
GCD(2, 121) = 242 / 242
GCD(2, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
GCD of 352, 626, 121, 872 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 626, 121, 872?
GCD of 352, 626, 121, 872 is 1
2. Where do I get the detailed procedure to find GCD of 352, 626, 121, 872?
You can find a detailed procedure to find GCD of 352, 626, 121, 872 on our page.
3. How to find GCD of 352, 626, 121, 872 on a calculator?
You can find the GCD of 352, 626, 121, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.