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 910, 355, 376, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 910, 355, 376, 364 is 1
GCD(910, 355, 376, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 910, 355, 376, 364 is 1
GCD(910, 355, 376, 364) = 1
Given Input numbers are 910, 355, 376, 364
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 910, 355, 376, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 355, 376, 364 is 1.
Therefore, GCD of numbers 910, 355, 376, 364 is 1
Given Input Data is 910, 355, 376, 364
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 355 is 5 x 71
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 364 is 2 x 2 x 7 x 13
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(910, 355) = 64610
GCD(910, 355) = ( 910 x 355 ) / 64610
GCD(910, 355) = 323050 / 64610
GCD(910, 355) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 376) = 1880
GCD(5, 376) = ( 5 x 376 ) / 1880
GCD(5, 376) = 1880 / 1880
GCD(5, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 910, 355, 376, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 910, 355, 376, 364?
GCD of 910, 355, 376, 364 is 1
2. Where do I get the detailed procedure to find GCD of 910, 355, 376, 364?
You can find a detailed procedure to find GCD of 910, 355, 376, 364 on our page.
3. How to find GCD of 910, 355, 376, 364 on a calculator?
You can find the GCD of 910, 355, 376, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.