Online GCD Calculator is useful to find the GCD of 120, 966, 292, 998 quickly. Get the easiest ways to solve the greatest common divisor of 120, 966, 292, 998 i.e 2 in different methods as follows.
Given Input numbers are 120, 966, 292, 998
In the factoring method, we have to find the divisors of all numbers
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 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (120, 966, 292, 998) = 2.
Given numbers are 120, 966, 292, 998
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 292 are 2 x 2 x 73
Prime factors of 998 are 2 x 499
The highest common occurrence is 21
Therefore, GCD of 120, 966, 292, 998 is 2.
Given numbers are 120, 966, 292, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 966) = 19320
GCD(120, 966) = ( 120 x 966 ) / 19320
= 120 / 966
= 120
Step2:
LCM(6, 292) = 876
GCD(6, 292) = ( 6 x 292 ) / 876
= 6 / 292
= 6
Step3:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
So, Greatest Common Divisor of 120, 966, 292, 998 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 966, 292, 998
The greatest common divisor of numbers 120, 966, 292, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 966, 292, 998 is 2.
1. What is the GCD of 120, 966, 292, 998?
GCD of given numbers 120, 966, 292, 998 is 2
2. How to calculate the greatest common divisor of 120, 966, 292, 998?
We can find the highest common divisor of 120, 966, 292, 998 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 120, 966, 292, 998 i.e 2.
3. How can I use the GCD of 120, 966, 292, 998Calculator?
Out the numbers 120, 966, 292, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.