Online GCD Calculator is useful to find the GCD of 582, 342, 120, 974 quickly. Get the easiest ways to solve the greatest common divisor of 582, 342, 120, 974 i.e 2 in different methods as follows.
Given Input numbers are 582, 342, 120, 974
In the factoring method, we have to find the divisors of all numbers
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
GCD of numbers is the greatest common divisor
So, the GCD (582, 342, 120, 974) = 2.
Given numbers are 582, 342, 120, 974
The list of prime factors of all numbers are
Prime factors of 582 are 2 x 3 x 97
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 974 are 2 x 487
The highest common occurrence is 21
Therefore, GCD of 582, 342, 120, 974 is 2.
Given numbers are 582, 342, 120, 974
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(582, 342) = 33174
GCD(582, 342) = ( 582 x 342 ) / 33174
= 582 / 342
= 582
Step2:
LCM(6, 120) = 120
GCD(6, 120) = ( 6 x 120 ) / 120
= 6 / 120
= 6
Step3:
LCM(6, 974) = 2922
GCD(6, 974) = ( 6 x 974 ) / 2922
= 6 / 974
= 6
So, Greatest Common Divisor of 582, 342, 120, 974 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 582, 342, 120, 974
The greatest common divisor of numbers 582, 342, 120, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 342, 120, 974 is 2.
1. What is the GCD of 582, 342, 120, 974?
GCD of given numbers 582, 342, 120, 974 is 2
2. How to calculate the greatest common divisor of 582, 342, 120, 974?
We can find the highest common divisor of 582, 342, 120, 974 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 582, 342, 120, 974 i.e 2.
3. How can I use the GCD of 582, 342, 120, 974Calculator?
Out the numbers 582, 342, 120, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.