Online GCD Calculator is useful to find the GCD of 946, 988, 120, 592 quickly. Get the easiest ways to solve the greatest common divisor of 946, 988, 120, 592 i.e 2 in different methods as follows.
Given Input numbers are 946, 988, 120, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
GCD of numbers is the greatest common divisor
So, the GCD (946, 988, 120, 592) = 2.
Given numbers are 946, 988, 120, 592
The list of prime factors of all numbers are
Prime factors of 946 are 2 x 11 x 43
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 946, 988, 120, 592 is 2.
Given numbers are 946, 988, 120, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(946, 988) = 467324
GCD(946, 988) = ( 946 x 988 ) / 467324
= 946 / 988
= 946
Step2:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
Step3:
LCM(2, 592) = 592
GCD(2, 592) = ( 2 x 592 ) / 592
= 2 / 592
= 2
So, Greatest Common Divisor of 946, 988, 120, 592 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 946, 988, 120, 592
The greatest common divisor of numbers 946, 988, 120, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 988, 120, 592 is 2.
1. What is the GCD of 946, 988, 120, 592?
GCD of given numbers 946, 988, 120, 592 is 2
2. How to calculate the greatest common divisor of 946, 988, 120, 592?
We can find the highest common divisor of 946, 988, 120, 592 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 946, 988, 120, 592 i.e 2.
3. How can I use the GCD of 946, 988, 120, 592Calculator?
Out the numbers 946, 988, 120, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.