Online GCD Calculator is useful to find the GCD of 364, 270, 430, 912 quickly. Get the easiest ways to solve the greatest common divisor of 364, 270, 430, 912 i.e 2 in different methods as follows.
Given Input numbers are 364, 270, 430, 912
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
GCD of numbers is the greatest common divisor
So, the GCD (364, 270, 430, 912) = 2.
Given numbers are 364, 270, 430, 912
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 430 are 2 x 5 x 43
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 364, 270, 430, 912 is 2.
Given numbers are 364, 270, 430, 912
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 270) = 49140
GCD(364, 270) = ( 364 x 270 ) / 49140
= 364 / 270
= 364
Step2:
LCM(2, 430) = 430
GCD(2, 430) = ( 2 x 430 ) / 430
= 2 / 430
= 2
Step3:
LCM(2, 912) = 912
GCD(2, 912) = ( 2 x 912 ) / 912
= 2 / 912
= 2
So, Greatest Common Divisor of 364, 270, 430, 912 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 270, 430, 912
The greatest common divisor of numbers 364, 270, 430, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 270, 430, 912 is 2.
1. What is the GCD of 364, 270, 430, 912?
GCD of given numbers 364, 270, 430, 912 is 2
2. How to calculate the greatest common divisor of 364, 270, 430, 912?
We can find the highest common divisor of 364, 270, 430, 912 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 364, 270, 430, 912 i.e 2.
3. How can I use the GCD of 364, 270, 430, 912Calculator?
Out the numbers 364, 270, 430, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.