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 78, 936, 170, 620 i.e. 2 largest integer that divides all the numbers equally.
GCD of 78, 936, 170, 620 is 2
GCD(78, 936, 170, 620) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 936, 170, 620 is 2
GCD(78, 936, 170, 620) = 2
Given Input numbers are 78, 936, 170, 620
To find the GCD of numbers using factoring list out all the divisors of each number
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 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 78, 936, 170, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 936, 170, 620 is 2.
Therefore, GCD of numbers 78, 936, 170, 620 is 2
Given Input Data is 78, 936, 170, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 620 is 2 x 2 x 5 x 31
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(78, 936) = 936
GCD(78, 936) = ( 78 x 936 ) / 936
GCD(78, 936) = 73008 / 936
GCD(78, 936) = 78
Step2:
Here we consider the GCD from the above i.e. 78 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(78, 170) = 6630
GCD(78, 170) = ( 78 x 170 ) / 6630
GCD(78, 170) = 13260 / 6630
GCD(78, 170) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 620) = 620
GCD(2, 620) = ( 2 x 620 ) / 620
GCD(2, 620) = 1240 / 620
GCD(2, 620) = 2
GCD of 78, 936, 170, 620 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 936, 170, 620?
GCD of 78, 936, 170, 620 is 2
2. Where do I get the detailed procedure to find GCD of 78, 936, 170, 620?
You can find a detailed procedure to find GCD of 78, 936, 170, 620 on our page.
3. How to find GCD of 78, 936, 170, 620 on a calculator?
You can find the GCD of 78, 936, 170, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.