Online GCD Calculator is useful to find the GCD of 326, 764, 440, 870 quickly. Get the easiest ways to solve the greatest common divisor of 326, 764, 440, 870 i.e 2 in different methods as follows.
Given Input numbers are 326, 764, 440, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
GCD of numbers is the greatest common divisor
So, the GCD (326, 764, 440, 870) = 2.
Given numbers are 326, 764, 440, 870
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 764 are 2 x 2 x 191
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 326, 764, 440, 870 is 2.
Given numbers are 326, 764, 440, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 764) = 124532
GCD(326, 764) = ( 326 x 764 ) / 124532
= 326 / 764
= 326
Step2:
LCM(2, 440) = 440
GCD(2, 440) = ( 2 x 440 ) / 440
= 2 / 440
= 2
Step3:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
So, Greatest Common Divisor of 326, 764, 440, 870 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 764, 440, 870
The greatest common divisor of numbers 326, 764, 440, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 764, 440, 870 is 2.
1. What is the GCD of 326, 764, 440, 870?
GCD of given numbers 326, 764, 440, 870 is 2
2. How to calculate the greatest common divisor of 326, 764, 440, 870?
We can find the highest common divisor of 326, 764, 440, 870 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 326, 764, 440, 870 i.e 2.
3. How can I use the GCD of 326, 764, 440, 870Calculator?
Out the numbers 326, 764, 440, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.