Online GCD Calculator is useful to find the GCD of 182, 210, 134, 824 quickly. Get the easiest ways to solve the greatest common divisor of 182, 210, 134, 824 i.e 2 in different methods as follows.
Given Input numbers are 182, 210, 134, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (182, 210, 134, 824) = 2.
Given numbers are 182, 210, 134, 824
The list of prime factors of all numbers are
Prime factors of 182 are 2 x 7 x 13
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 134 are 2 x 67
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 182, 210, 134, 824 is 2.
Given numbers are 182, 210, 134, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(182, 210) = 2730
GCD(182, 210) = ( 182 x 210 ) / 2730
= 182 / 210
= 182
Step2:
LCM(14, 134) = 938
GCD(14, 134) = ( 14 x 134 ) / 938
= 14 / 134
= 14
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 182, 210, 134, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 182, 210, 134, 824
The greatest common divisor of numbers 182, 210, 134, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 210, 134, 824 is 2.
1. What is the GCD of 182, 210, 134, 824?
GCD of given numbers 182, 210, 134, 824 is 2
2. How to calculate the greatest common divisor of 182, 210, 134, 824?
We can find the highest common divisor of 182, 210, 134, 824 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 182, 210, 134, 824 i.e 2.
3. How can I use the GCD of 182, 210, 134, 824Calculator?
Out the numbers 182, 210, 134, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.