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 740, 107, 184, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 107, 184, 149 is 1
GCD(740, 107, 184, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 107, 184, 149 is 1
GCD(740, 107, 184, 149) = 1
Given Input numbers are 740, 107, 184, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 740, 107, 184, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 107, 184, 149 is 1.
Therefore, GCD of numbers 740, 107, 184, 149 is 1
Given Input Data is 740, 107, 184, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 107 is 107
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 149 is 149
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(740, 107) = 79180
GCD(740, 107) = ( 740 x 107 ) / 79180
GCD(740, 107) = 79180 / 79180
GCD(740, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
GCD of 740, 107, 184, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 107, 184, 149?
GCD of 740, 107, 184, 149 is 1
2. Where do I get the detailed procedure to find GCD of 740, 107, 184, 149?
You can find a detailed procedure to find GCD of 740, 107, 184, 149 on our page.
3. How to find GCD of 740, 107, 184, 149 on a calculator?
You can find the GCD of 740, 107, 184, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.