Online GCD Calculator is useful to find the GCD of 632, 966, 960, 998 quickly. Get the easiest ways to solve the greatest common divisor of 632, 966, 960, 998 i.e 2 in different methods as follows.
Given Input numbers are 632, 966, 960, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
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 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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 (632, 966, 960, 998) = 2.
Given numbers are 632, 966, 960, 998
The list of prime factors of all numbers are
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 998 are 2 x 499
The highest common occurrence is 21
Therefore, GCD of 632, 966, 960, 998 is 2.
Given numbers are 632, 966, 960, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(632, 966) = 305256
GCD(632, 966) = ( 632 x 966 ) / 305256
= 632 / 966
= 632
Step2:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
Step3:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
So, Greatest Common Divisor of 632, 966, 960, 998 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 632, 966, 960, 998
The greatest common divisor of numbers 632, 966, 960, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 966, 960, 998 is 2.
1. What is the GCD of 632, 966, 960, 998?
GCD of given numbers 632, 966, 960, 998 is 2
2. How to calculate the greatest common divisor of 632, 966, 960, 998?
We can find the highest common divisor of 632, 966, 960, 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 632, 966, 960, 998 i.e 2.
3. How can I use the GCD of 632, 966, 960, 998Calculator?
Out the numbers 632, 966, 960, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.