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, 154, 820, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 154, 820, 401 is 1
GCD(740, 154, 820, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 154, 820, 401 is 1
GCD(740, 154, 820, 401) = 1
Given Input numbers are 740, 154, 820, 401
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 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 740, 154, 820, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 154, 820, 401 is 1.
Therefore, GCD of numbers 740, 154, 820, 401 is 1
Given Input Data is 740, 154, 820, 401
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 154 is 2 x 7 x 11
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 401 is 401
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, 154) = 56980
GCD(740, 154) = ( 740 x 154 ) / 56980
GCD(740, 154) = 113960 / 56980
GCD(740, 154) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
GCD(2, 820) = 1640 / 820
GCD(2, 820) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 401) = 802
GCD(2, 401) = ( 2 x 401 ) / 802
GCD(2, 401) = 802 / 802
GCD(2, 401) = 1
GCD of 740, 154, 820, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 154, 820, 401?
GCD of 740, 154, 820, 401 is 1
2. Where do I get the detailed procedure to find GCD of 740, 154, 820, 401?
You can find a detailed procedure to find GCD of 740, 154, 820, 401 on our page.
3. How to find GCD of 740, 154, 820, 401 on a calculator?
You can find the GCD of 740, 154, 820, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.