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 561, 994, 176, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 994, 176, 354 is 1
GCD(561, 994, 176, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 994, 176, 354 is 1
GCD(561, 994, 176, 354) = 1
Given Input numbers are 561, 994, 176, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 561, 994, 176, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 994, 176, 354 is 1.
Therefore, GCD of numbers 561, 994, 176, 354 is 1
Given Input Data is 561, 994, 176, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 354 is 2 x 3 x 59
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(561, 994) = 557634
GCD(561, 994) = ( 561 x 994 ) / 557634
GCD(561, 994) = 557634 / 557634
GCD(561, 994) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 561, 994, 176, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 994, 176, 354?
GCD of 561, 994, 176, 354 is 1
2. Where do I get the detailed procedure to find GCD of 561, 994, 176, 354?
You can find a detailed procedure to find GCD of 561, 994, 176, 354 on our page.
3. How to find GCD of 561, 994, 176, 354 on a calculator?
You can find the GCD of 561, 994, 176, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.