Online GCD Calculator is useful to find the GCD of 172, 762, 844, 872 quickly. Get the easiest ways to solve the greatest common divisor of 172, 762, 844, 872 i.e 2 in different methods as follows.
Given Input numbers are 172, 762, 844, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
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 (172, 762, 844, 872) = 2.
Given numbers are 172, 762, 844, 872
The list of prime factors of all numbers are
Prime factors of 172 are 2 x 2 x 43
Prime factors of 762 are 2 x 3 x 127
Prime factors of 844 are 2 x 2 x 211
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 172, 762, 844, 872 is 2.
Given numbers are 172, 762, 844, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(172, 762) = 65532
GCD(172, 762) = ( 172 x 762 ) / 65532
= 172 / 762
= 172
Step2:
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
= 2 / 844
= 2
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 172, 762, 844, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 172, 762, 844, 872
The greatest common divisor of numbers 172, 762, 844, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 762, 844, 872 is 2.
1. What is the GCD of 172, 762, 844, 872?
GCD of given numbers 172, 762, 844, 872 is 2
2. How to calculate the greatest common divisor of 172, 762, 844, 872?
We can find the highest common divisor of 172, 762, 844, 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 172, 762, 844, 872 i.e 2.
3. How can I use the GCD of 172, 762, 844, 872Calculator?
Out the numbers 172, 762, 844, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.