Online GCD Calculator is useful to find the GCD of 964, 634, 732, 198 quickly. Get the easiest ways to solve the greatest common divisor of 964, 634, 732, 198 i.e 2 in different methods as follows.
Given Input numbers are 964, 634, 732, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (964, 634, 732, 198) = 2.
Given numbers are 964, 634, 732, 198
The list of prime factors of all numbers are
Prime factors of 964 are 2 x 2 x 241
Prime factors of 634 are 2 x 317
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 964, 634, 732, 198 is 2.
Given numbers are 964, 634, 732, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(964, 634) = 305588
GCD(964, 634) = ( 964 x 634 ) / 305588
= 964 / 634
= 964
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
So, Greatest Common Divisor of 964, 634, 732, 198 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 964, 634, 732, 198
The greatest common divisor of numbers 964, 634, 732, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 634, 732, 198 is 2.
1. What is the GCD of 964, 634, 732, 198?
GCD of given numbers 964, 634, 732, 198 is 2
2. How to calculate the greatest common divisor of 964, 634, 732, 198?
We can find the highest common divisor of 964, 634, 732, 198 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 964, 634, 732, 198 i.e 2.
3. How can I use the GCD of 964, 634, 732, 198Calculator?
Out the numbers 964, 634, 732, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.