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 155, 115, 428, 740 i.e. 1 largest integer that divides all the numbers equally.
GCD of 155, 115, 428, 740 is 1
GCD(155, 115, 428, 740) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 155, 115, 428, 740 is 1
GCD(155, 115, 428, 740) = 1
Given Input numbers are 155, 115, 428, 740
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
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
Greatest Common Divisior
We found the divisors of 155, 115, 428, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 115, 428, 740 is 1.
Therefore, GCD of numbers 155, 115, 428, 740 is 1
Given Input Data is 155, 115, 428, 740
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 155 is 5 x 31
Prime Factorization of 115 is 5 x 23
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 740 is 2 x 2 x 5 x 37
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(155, 115) = 3565
GCD(155, 115) = ( 155 x 115 ) / 3565
GCD(155, 115) = 17825 / 3565
GCD(155, 115) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 428) = 2140
GCD(5, 428) = ( 5 x 428 ) / 2140
GCD(5, 428) = 2140 / 2140
GCD(5, 428) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
GCD of 155, 115, 428, 740 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 155, 115, 428, 740?
GCD of 155, 115, 428, 740 is 1
2. Where do I get the detailed procedure to find GCD of 155, 115, 428, 740?
You can find a detailed procedure to find GCD of 155, 115, 428, 740 on our page.
3. How to find GCD of 155, 115, 428, 740 on a calculator?
You can find the GCD of 155, 115, 428, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.