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, 827, 203, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 827, 203, 616 is 1
GCD(740, 827, 203, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 827, 203, 616 is 1
GCD(740, 827, 203, 616) = 1
Given Input numbers are 740, 827, 203, 616
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 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 740, 827, 203, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 827, 203, 616 is 1.
Therefore, GCD of numbers 740, 827, 203, 616 is 1
Given Input Data is 740, 827, 203, 616
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 827 is 827
Prime Factorization of 203 is 7 x 29
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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, 827) = 611980
GCD(740, 827) = ( 740 x 827 ) / 611980
GCD(740, 827) = 611980 / 611980
GCD(740, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 740, 827, 203, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 827, 203, 616?
GCD of 740, 827, 203, 616 is 1
2. Where do I get the detailed procedure to find GCD of 740, 827, 203, 616?
You can find a detailed procedure to find GCD of 740, 827, 203, 616 on our page.
3. How to find GCD of 740, 827, 203, 616 on a calculator?
You can find the GCD of 740, 827, 203, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.