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 950, 350, 34, 704 i.e. 2 largest integer that divides all the numbers equally.
GCD of 950, 350, 34, 704 is 2
GCD(950, 350, 34, 704) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 950, 350, 34, 704 is 2
GCD(950, 350, 34, 704) = 2
Given Input numbers are 950, 350, 34, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
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 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 950, 350, 34, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 350, 34, 704 is 2.
Therefore, GCD of numbers 950, 350, 34, 704 is 2
Given Input Data is 950, 350, 34, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 34 is 2 x 17
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(950, 350) = 6650
GCD(950, 350) = ( 950 x 350 ) / 6650
GCD(950, 350) = 332500 / 6650
GCD(950, 350) = 50
Step2:
Here we consider the GCD from the above i.e. 50 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(50, 34) = 850
GCD(50, 34) = ( 50 x 34 ) / 850
GCD(50, 34) = 1700 / 850
GCD(50, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
GCD(2, 704) = 1408 / 704
GCD(2, 704) = 2
GCD of 950, 350, 34, 704 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 950, 350, 34, 704?
GCD of 950, 350, 34, 704 is 2
2. Where do I get the detailed procedure to find GCD of 950, 350, 34, 704?
You can find a detailed procedure to find GCD of 950, 350, 34, 704 on our page.
3. How to find GCD of 950, 350, 34, 704 on a calculator?
You can find the GCD of 950, 350, 34, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.