Online GCD Calculator is useful to find the GCD of 722, 502, 182, 170 quickly. Get the easiest ways to solve the greatest common divisor of 722, 502, 182, 170 i.e 2 in different methods as follows.
Given Input numbers are 722, 502, 182, 170
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (722, 502, 182, 170) = 2.
Given numbers are 722, 502, 182, 170
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 502 are 2 x 251
Prime factors of 182 are 2 x 7 x 13
Prime factors of 170 are 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 722, 502, 182, 170 is 2.
Given numbers are 722, 502, 182, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 502) = 181222
GCD(722, 502) = ( 722 x 502 ) / 181222
= 722 / 502
= 722
Step2:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
Step3:
LCM(2, 170) = 170
GCD(2, 170) = ( 2 x 170 ) / 170
= 2 / 170
= 2
So, Greatest Common Divisor of 722, 502, 182, 170 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 502, 182, 170
The greatest common divisor of numbers 722, 502, 182, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 502, 182, 170 is 2.
1. What is the GCD of 722, 502, 182, 170?
GCD of given numbers 722, 502, 182, 170 is 2
2. How to calculate the greatest common divisor of 722, 502, 182, 170?
We can find the highest common divisor of 722, 502, 182, 170 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 722, 502, 182, 170 i.e 2.
3. How can I use the GCD of 722, 502, 182, 170Calculator?
Out the numbers 722, 502, 182, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.