Online GCD Calculator is useful to find the GCD of 938, 172, 148, 732 quickly. Get the easiest ways to solve the greatest common divisor of 938, 172, 148, 732 i.e 2 in different methods as follows.
Given Input numbers are 938, 172, 148, 732
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
GCD of numbers is the greatest common divisor
So, the GCD (938, 172, 148, 732) = 2.
Given numbers are 938, 172, 148, 732
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 172 are 2 x 2 x 43
Prime factors of 148 are 2 x 2 x 37
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 21
Therefore, GCD of 938, 172, 148, 732 is 2.
Given numbers are 938, 172, 148, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 172) = 80668
GCD(938, 172) = ( 938 x 172 ) / 80668
= 938 / 172
= 938
Step2:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
Step3:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
So, Greatest Common Divisor of 938, 172, 148, 732 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 938, 172, 148, 732
The greatest common divisor of numbers 938, 172, 148, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 172, 148, 732 is 2.
1. What is the GCD of 938, 172, 148, 732?
GCD of given numbers 938, 172, 148, 732 is 2
2. How to calculate the greatest common divisor of 938, 172, 148, 732?
We can find the highest common divisor of 938, 172, 148, 732 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, 172, 148, 732 i.e 2.
3. How can I use the GCD of 938, 172, 148, 732Calculator?
Out the numbers 938, 172, 148, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.