Online GCD Calculator is useful to find the GCD of 476, 584, 36, 166 quickly. Get the easiest ways to solve the greatest common divisor of 476, 584, 36, 166 i.e 2 in different methods as follows.
Given Input numbers are 476, 584, 36, 166
In the factoring method, we have to find the divisors of all numbers
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 36 :
The positive integer divisors of 36 that completely divides 36 are.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
GCD of numbers is the greatest common divisor
So, the GCD (476, 584, 36, 166) = 2.
Given numbers are 476, 584, 36, 166
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 36 are 2 x 2 x 3 x 3
Prime factors of 166 are 2 x 83
The highest common occurrence is 21
Therefore, GCD of 476, 584, 36, 166 is 2.
Given numbers are 476, 584, 36, 166
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 584) = 69496
GCD(476, 584) = ( 476 x 584 ) / 69496
= 476 / 584
= 476
Step2:
LCM(4, 36) = 36
GCD(4, 36) = ( 4 x 36 ) / 36
= 4 / 36
= 4
Step3:
LCM(4, 166) = 332
GCD(4, 166) = ( 4 x 166 ) / 332
= 4 / 166
= 4
So, Greatest Common Divisor of 476, 584, 36, 166 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 584, 36, 166
The greatest common divisor of numbers 476, 584, 36, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 584, 36, 166 is 2.
1. What is the GCD of 476, 584, 36, 166?
GCD of given numbers 476, 584, 36, 166 is 2
2. How to calculate the greatest common divisor of 476, 584, 36, 166?
We can find the highest common divisor of 476, 584, 36, 166 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 476, 584, 36, 166 i.e 2.
3. How can I use the GCD of 476, 584, 36, 166Calculator?
Out the numbers 476, 584, 36, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.