Online GCD Calculator is useful to find the GCD of 782, 340, 164, 872 quickly. Get the easiest ways to solve the greatest common divisor of 782, 340, 164, 872 i.e 2 in different methods as follows.
Given Input numbers are 782, 340, 164, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (782, 340, 164, 872) = 2.
Given numbers are 782, 340, 164, 872
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 164 are 2 x 2 x 41
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 782, 340, 164, 872 is 2.
Given numbers are 782, 340, 164, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 340) = 7820
GCD(782, 340) = ( 782 x 340 ) / 7820
= 782 / 340
= 782
Step2:
LCM(34, 164) = 2788
GCD(34, 164) = ( 34 x 164 ) / 2788
= 34 / 164
= 34
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 782, 340, 164, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 340, 164, 872
The greatest common divisor of numbers 782, 340, 164, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 340, 164, 872 is 2.
1. What is the GCD of 782, 340, 164, 872?
GCD of given numbers 782, 340, 164, 872 is 2
2. How to calculate the greatest common divisor of 782, 340, 164, 872?
We can find the highest common divisor of 782, 340, 164, 872 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 782, 340, 164, 872 i.e 2.
3. How can I use the GCD of 782, 340, 164, 872Calculator?
Out the numbers 782, 340, 164, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.