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 788, 702, 43, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 702, 43, 741 is 1
GCD(788, 702, 43, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 702, 43, 741 is 1
GCD(788, 702, 43, 741) = 1
Given Input numbers are 788, 702, 43, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 788, 702, 43, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 702, 43, 741 is 1.
Therefore, GCD of numbers 788, 702, 43, 741 is 1
Given Input Data is 788, 702, 43, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 43 is 43
Prime Factorization of 741 is 3 x 13 x 19
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(788, 702) = 276588
GCD(788, 702) = ( 788 x 702 ) / 276588
GCD(788, 702) = 553176 / 276588
GCD(788, 702) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
GCD(2, 43) = 86 / 86
GCD(2, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 788, 702, 43, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 702, 43, 741?
GCD of 788, 702, 43, 741 is 1
2. Where do I get the detailed procedure to find GCD of 788, 702, 43, 741?
You can find a detailed procedure to find GCD of 788, 702, 43, 741 on our page.
3. How to find GCD of 788, 702, 43, 741 on a calculator?
You can find the GCD of 788, 702, 43, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.