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 936, 962, 398, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 962, 398, 739 is 1
GCD(936, 962, 398, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 962, 398, 739 is 1
GCD(936, 962, 398, 739) = 1
Given Input numbers are 936, 962, 398, 739
To find the GCD of numbers using factoring list out all the divisors of each number
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 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 936, 962, 398, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 962, 398, 739 is 1.
Therefore, GCD of numbers 936, 962, 398, 739 is 1
Given Input Data is 936, 962, 398, 739
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 398 is 2 x 199
Prime Factorization of 739 is 739
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(936, 962) = 34632
GCD(936, 962) = ( 936 x 962 ) / 34632
GCD(936, 962) = 900432 / 34632
GCD(936, 962) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 398) = 5174
GCD(26, 398) = ( 26 x 398 ) / 5174
GCD(26, 398) = 10348 / 5174
GCD(26, 398) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 739) = 1478
GCD(2, 739) = ( 2 x 739 ) / 1478
GCD(2, 739) = 1478 / 1478
GCD(2, 739) = 1
GCD of 936, 962, 398, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 962, 398, 739?
GCD of 936, 962, 398, 739 is 1
2. Where do I get the detailed procedure to find GCD of 936, 962, 398, 739?
You can find a detailed procedure to find GCD of 936, 962, 398, 739 on our page.
3. How to find GCD of 936, 962, 398, 739 on a calculator?
You can find the GCD of 936, 962, 398, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.