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 676, 917, 407, 332 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 917, 407, 332 is 1
GCD(676, 917, 407, 332) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 917, 407, 332 is 1
GCD(676, 917, 407, 332) = 1
Given Input numbers are 676, 917, 407, 332
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Greatest Common Divisior
We found the divisors of 676, 917, 407, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 917, 407, 332 is 1.
Therefore, GCD of numbers 676, 917, 407, 332 is 1
Given Input Data is 676, 917, 407, 332
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 917 is 7 x 131
Prime Factorization of 407 is 11 x 37
Prime Factorization of 332 is 2 x 2 x 83
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(676, 917) = 619892
GCD(676, 917) = ( 676 x 917 ) / 619892
GCD(676, 917) = 619892 / 619892
GCD(676, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 407) = 407
GCD(1, 407) = ( 1 x 407 ) / 407
GCD(1, 407) = 407 / 407
GCD(1, 407) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
GCD of 676, 917, 407, 332 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 917, 407, 332?
GCD of 676, 917, 407, 332 is 1
2. Where do I get the detailed procedure to find GCD of 676, 917, 407, 332?
You can find a detailed procedure to find GCD of 676, 917, 407, 332 on our page.
3. How to find GCD of 676, 917, 407, 332 on a calculator?
You can find the GCD of 676, 917, 407, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.