Online GCD Calculator is useful to find the GCD of 416, 156, 428, 336 quickly. Get the easiest ways to solve the greatest common divisor of 416, 156, 428, 336 i.e 4 in different methods as follows.
Given Input numbers are 416, 156, 428, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (416, 156, 428, 336) = 4.
Given numbers are 416, 156, 428, 336
The list of prime factors of all numbers are
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 428 are 2 x 2 x 107
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 416, 156, 428, 336 is 4.
Given numbers are 416, 156, 428, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(416, 156) = 1248
GCD(416, 156) = ( 416 x 156 ) / 1248
= 416 / 156
= 416
Step2:
LCM(52, 428) = 5564
GCD(52, 428) = ( 52 x 428 ) / 5564
= 52 / 428
= 52
Step3:
LCM(4, 336) = 336
GCD(4, 336) = ( 4 x 336 ) / 336
= 4 / 336
= 4
So, Greatest Common Divisor of 416, 156, 428, 336 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 416, 156, 428, 336
The greatest common divisor of numbers 416, 156, 428, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 156, 428, 336 is 4.
1. What is the GCD of 416, 156, 428, 336?
GCD of given numbers 416, 156, 428, 336 is 4
2. How to calculate the greatest common divisor of 416, 156, 428, 336?
We can find the highest common divisor of 416, 156, 428, 336 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 416, 156, 428, 336 i.e 4.
3. How can I use the GCD of 416, 156, 428, 336Calculator?
Out the numbers 416, 156, 428, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.