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 34, 350, 784, 616 i.e. 2 largest integer that divides all the numbers equally.
GCD of 34, 350, 784, 616 is 2
GCD(34, 350, 784, 616) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 350, 784, 616 is 2
GCD(34, 350, 784, 616) = 2
Given Input numbers are 34, 350, 784, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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 34, 350, 784, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 350, 784, 616 is 2.
Therefore, GCD of numbers 34, 350, 784, 616 is 2
Given Input Data is 34, 350, 784, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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(34, 350) = 5950
GCD(34, 350) = ( 34 x 350 ) / 5950
GCD(34, 350) = 11900 / 5950
GCD(34, 350) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
GCD(2, 784) = 1568 / 784
GCD(2, 784) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
GCD(2, 616) = 1232 / 616
GCD(2, 616) = 2
GCD of 34, 350, 784, 616 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 350, 784, 616?
GCD of 34, 350, 784, 616 is 2
2. Where do I get the detailed procedure to find GCD of 34, 350, 784, 616?
You can find a detailed procedure to find GCD of 34, 350, 784, 616 on our page.
3. How to find GCD of 34, 350, 784, 616 on a calculator?
You can find the GCD of 34, 350, 784, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.