Online GCD Calculator is useful to find the GCD of 664, 372, 774, 802 quickly. Get the easiest ways to solve the greatest common divisor of 664, 372, 774, 802 i.e 2 in different methods as follows.
Given Input numbers are 664, 372, 774, 802
In the factoring method, we have to find the divisors of all numbers
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
GCD of numbers is the greatest common divisor
So, the GCD (664, 372, 774, 802) = 2.
Given numbers are 664, 372, 774, 802
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 802 are 2 x 401
The highest common occurrence is 21
Therefore, GCD of 664, 372, 774, 802 is 2.
Given numbers are 664, 372, 774, 802
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 372) = 61752
GCD(664, 372) = ( 664 x 372 ) / 61752
= 664 / 372
= 664
Step2:
LCM(4, 774) = 1548
GCD(4, 774) = ( 4 x 774 ) / 1548
= 4 / 774
= 4
Step3:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
So, Greatest Common Divisor of 664, 372, 774, 802 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 664, 372, 774, 802
The greatest common divisor of numbers 664, 372, 774, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 372, 774, 802 is 2.
1. What is the GCD of 664, 372, 774, 802?
GCD of given numbers 664, 372, 774, 802 is 2
2. How to calculate the greatest common divisor of 664, 372, 774, 802?
We can find the highest common divisor of 664, 372, 774, 802 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 664, 372, 774, 802 i.e 2.
3. How can I use the GCD of 664, 372, 774, 802Calculator?
Out the numbers 664, 372, 774, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.