GCD of 938, 994, 506 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 938, 994, 506 quickly. Get the easiest ways to solve the greatest common divisor of 938, 994, 506 i.e 2 in different methods as follows.
Given Input numbers are 938, 994, 506
In the factoring method, we have to find the divisors of all numbers
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
GCD of numbers is the greatest common divisor
So, the GCD (938, 994, 506) = 2.
Given numbers are 938, 994, 506
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 994 are 2 x 7 x 71
Prime factors of 506 are 2 x 11 x 23
The highest common occurrence is 21
Therefore, GCD of 938, 994, 506 is 2.
Steps to Calculate GCD of 938, 994, 506 using LCM Formula
Given numbers are 938, 994, 506
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 994) = 66598
GCD(938, 994) = ( 938 x 994 ) / 66598
= 938 / 994
= 938
Step2:
LCM(14, 506) = 3542
GCD(14, 506) = ( 14 x 506 ) / 3542
= 14 / 506
= 14
So, Greatest Common Divisor of 938, 994, 506 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 938, 994, 506
Given numbers are 938, 994, 506
The greatest common divisor of numbers 938, 994, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 994, 506 is 2.
FAQs on GCD of 938, 994, 506 Calculator
1. What is the GCD of 938, 994, 506?
GCD of given numbers 938, 994, 506 is 2
2. How to calculate the greatest common divisor of 938, 994, 506?
We can find the highest common divisor of 938, 994, 506 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 938, 994, 506 i.e 2.
3. How can I use the GCD of 938, 994, 506Calculator?
Out the numbers 938, 994, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.