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 734, 996, 78, 778 i.e. 2 largest integer that divides all the numbers equally.
GCD of 734, 996, 78, 778 is 2
GCD(734, 996, 78, 778) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 996, 78, 778 is 2
GCD(734, 996, 78, 778) = 2
Given Input numbers are 734, 996, 78, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 734, 996, 78, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 996, 78, 778 is 2.
Therefore, GCD of numbers 734, 996, 78, 778 is 2
Given Input Data is 734, 996, 78, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 778 is 2 x 389
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(734, 996) = 365532
GCD(734, 996) = ( 734 x 996 ) / 365532
GCD(734, 996) = 731064 / 365532
GCD(734, 996) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 78) = 78
GCD(2, 78) = ( 2 x 78 ) / 78
GCD(2, 78) = 156 / 78
GCD(2, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 778) = 778
GCD(2, 778) = ( 2 x 778 ) / 778
GCD(2, 778) = 1556 / 778
GCD(2, 778) = 2
GCD of 734, 996, 78, 778 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 996, 78, 778?
GCD of 734, 996, 78, 778 is 2
2. Where do I get the detailed procedure to find GCD of 734, 996, 78, 778?
You can find a detailed procedure to find GCD of 734, 996, 78, 778 on our page.
3. How to find GCD of 734, 996, 78, 778 on a calculator?
You can find the GCD of 734, 996, 78, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.