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 917, 784, 290, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 784, 290, 357 is 1
GCD(917, 784, 290, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 784, 290, 357 is 1
GCD(917, 784, 290, 357) = 1
Given Input numbers are 917, 784, 290, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 917, 784, 290, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 784, 290, 357 is 1.
Therefore, GCD of numbers 917, 784, 290, 357 is 1
Given Input Data is 917, 784, 290, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 357 is 3 x 7 x 17
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(917, 784) = 102704
GCD(917, 784) = ( 917 x 784 ) / 102704
GCD(917, 784) = 718928 / 102704
GCD(917, 784) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 290) = 2030
GCD(7, 290) = ( 7 x 290 ) / 2030
GCD(7, 290) = 2030 / 2030
GCD(7, 290) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 917, 784, 290, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 784, 290, 357?
GCD of 917, 784, 290, 357 is 1
2. Where do I get the detailed procedure to find GCD of 917, 784, 290, 357?
You can find a detailed procedure to find GCD of 917, 784, 290, 357 on our page.
3. How to find GCD of 917, 784, 290, 357 on a calculator?
You can find the GCD of 917, 784, 290, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.