Online GCD Calculator is useful to find the GCD of 598, 938, 186, 972 quickly. Get the easiest ways to solve the greatest common divisor of 598, 938, 186, 972 i.e 2 in different methods as follows.
Given Input numbers are 598, 938, 186, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (598, 938, 186, 972) = 2.
Given numbers are 598, 938, 186, 972
The list of prime factors of all numbers are
Prime factors of 598 are 2 x 13 x 23
Prime factors of 938 are 2 x 7 x 67
Prime factors of 186 are 2 x 3 x 31
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 598, 938, 186, 972 is 2.
Given numbers are 598, 938, 186, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(598, 938) = 280462
GCD(598, 938) = ( 598 x 938 ) / 280462
= 598 / 938
= 598
Step2:
LCM(2, 186) = 186
GCD(2, 186) = ( 2 x 186 ) / 186
= 2 / 186
= 2
Step3:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 598, 938, 186, 972 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 598, 938, 186, 972
The greatest common divisor of numbers 598, 938, 186, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 938, 186, 972 is 2.
1. What is the GCD of 598, 938, 186, 972?
GCD of given numbers 598, 938, 186, 972 is 2
2. How to calculate the greatest common divisor of 598, 938, 186, 972?
We can find the highest common divisor of 598, 938, 186, 972 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 598, 938, 186, 972 i.e 2.
3. How can I use the GCD of 598, 938, 186, 972Calculator?
Out the numbers 598, 938, 186, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.