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, 989, 346, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 649, 989, 346, 146 is 1
GCD(649, 989, 346, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 649, 989, 346, 146 is 1
GCD(649, 989, 346, 146) = 1
Given Input numbers are 649, 989, 346, 146
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 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 649, 989, 346, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 989, 346, 146 is 1.
Therefore, GCD of numbers 649, 989, 346, 146 is 1
Given Input Data is 649, 989, 346, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 649 is 11 x 59
Prime Factorization of 989 is 23 x 43
Prime Factorization of 346 is 2 x 173
Prime Factorization of 146 is 2 x 73
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, 989) = 641861
GCD(649, 989) = ( 649 x 989 ) / 641861
GCD(649, 989) = 641861 / 641861
GCD(649, 989) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 649, 989, 346, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 649, 989, 346, 146?
GCD of 649, 989, 346, 146 is 1
2. Where do I get the detailed procedure to find GCD of 649, 989, 346, 146?
You can find a detailed procedure to find GCD of 649, 989, 346, 146 on our page.
3. How to find GCD of 649, 989, 346, 146 on a calculator?
You can find the GCD of 649, 989, 346, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.