Online GCD Calculator is useful to find the GCD of 364, 654, 340, 460 quickly. Get the easiest ways to solve the greatest common divisor of 364, 654, 340, 460 i.e 2 in different methods as follows.
Given Input numbers are 364, 654, 340, 460
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 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (364, 654, 340, 460) = 2.
Given numbers are 364, 654, 340, 460
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 654 are 2 x 3 x 109
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 364, 654, 340, 460 is 2.
Given numbers are 364, 654, 340, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 654) = 119028
GCD(364, 654) = ( 364 x 654 ) / 119028
= 364 / 654
= 364
Step2:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
Step3:
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
= 2 / 460
= 2
So, Greatest Common Divisor of 364, 654, 340, 460 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 654, 340, 460
The greatest common divisor of numbers 364, 654, 340, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 654, 340, 460 is 2.
1. What is the GCD of 364, 654, 340, 460?
GCD of given numbers 364, 654, 340, 460 is 2
2. How to calculate the greatest common divisor of 364, 654, 340, 460?
We can find the highest common divisor of 364, 654, 340, 460 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, 654, 340, 460 i.e 2.
3. How can I use the GCD of 364, 654, 340, 460Calculator?
Out the numbers 364, 654, 340, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.