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 649, 112, 329, 174 i.e. 1 largest integer that divides all the numbers equally.
GCD of 649, 112, 329, 174 is 1
GCD(649, 112, 329, 174) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 649, 112, 329, 174 is 1
GCD(649, 112, 329, 174) = 1
Given Input numbers are 649, 112, 329, 174
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 649, 112, 329, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 112, 329, 174 is 1.
Therefore, GCD of numbers 649, 112, 329, 174 is 1
Given Input Data is 649, 112, 329, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 649 is 11 x 59
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 329 is 7 x 47
Prime Factorization of 174 is 2 x 3 x 29
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(649, 112) = 72688
GCD(649, 112) = ( 649 x 112 ) / 72688
GCD(649, 112) = 72688 / 72688
GCD(649, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
GCD of 649, 112, 329, 174 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 649, 112, 329, 174?
GCD of 649, 112, 329, 174 is 1
2. Where do I get the detailed procedure to find GCD of 649, 112, 329, 174?
You can find a detailed procedure to find GCD of 649, 112, 329, 174 on our page.
3. How to find GCD of 649, 112, 329, 174 on a calculator?
You can find the GCD of 649, 112, 329, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.