Online GCD Calculator is useful to find the GCD of 938, 844, 612, 142 quickly. Get the easiest ways to solve the greatest common divisor of 938, 844, 612, 142 i.e 2 in different methods as follows.
Given Input numbers are 938, 844, 612, 142
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 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (938, 844, 612, 142) = 2.
Given numbers are 938, 844, 612, 142
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 844 are 2 x 2 x 211
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 938, 844, 612, 142 is 2.
Given numbers are 938, 844, 612, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 844) = 395836
GCD(938, 844) = ( 938 x 844 ) / 395836
= 938 / 844
= 938
Step2:
LCM(2, 612) = 612
GCD(2, 612) = ( 2 x 612 ) / 612
= 2 / 612
= 2
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 938, 844, 612, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 938, 844, 612, 142
The greatest common divisor of numbers 938, 844, 612, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 844, 612, 142 is 2.
1. What is the GCD of 938, 844, 612, 142?
GCD of given numbers 938, 844, 612, 142 is 2
2. How to calculate the greatest common divisor of 938, 844, 612, 142?
We can find the highest common divisor of 938, 844, 612, 142 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, 844, 612, 142 i.e 2.
3. How can I use the GCD of 938, 844, 612, 142Calculator?
Out the numbers 938, 844, 612, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.