Online GCD Calculator is useful to find the GCD of 872, 722, 880, 302 quickly. Get the easiest ways to solve the greatest common divisor of 872, 722, 880, 302 i.e 2 in different methods as follows.
Given Input numbers are 872, 722, 880, 302
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (872, 722, 880, 302) = 2.
Given numbers are 872, 722, 880, 302
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 722 are 2 x 19 x 19
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 302 are 2 x 151
The highest common occurrence is 21
Therefore, GCD of 872, 722, 880, 302 is 2.
Given numbers are 872, 722, 880, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 722) = 314792
GCD(872, 722) = ( 872 x 722 ) / 314792
= 872 / 722
= 872
Step2:
LCM(2, 880) = 880
GCD(2, 880) = ( 2 x 880 ) / 880
= 2 / 880
= 2
Step3:
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
= 2 / 302
= 2
So, Greatest Common Divisor of 872, 722, 880, 302 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 722, 880, 302
The greatest common divisor of numbers 872, 722, 880, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 722, 880, 302 is 2.
1. What is the GCD of 872, 722, 880, 302?
GCD of given numbers 872, 722, 880, 302 is 2
2. How to calculate the greatest common divisor of 872, 722, 880, 302?
We can find the highest common divisor of 872, 722, 880, 302 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 872, 722, 880, 302 i.e 2.
3. How can I use the GCD of 872, 722, 880, 302Calculator?
Out the numbers 872, 722, 880, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.