Online GCD Calculator is useful to find the GCD of 364, 102, 26, 476 quickly. Get the easiest ways to solve the greatest common divisor of 364, 102, 26, 476 i.e 2 in different methods as follows.
Given Input numbers are 364, 102, 26, 476
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 26 :
The positive integer divisors of 26 that completely divides 26 are.
1, 2, 13, 26
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
GCD of numbers is the greatest common divisor
So, the GCD (364, 102, 26, 476) = 2.
Given numbers are 364, 102, 26, 476
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 102 are 2 x 3 x 17
Prime factors of 26 are 2 x 13
Prime factors of 476 are 2 x 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 364, 102, 26, 476 is 2.
Given numbers are 364, 102, 26, 476
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 102) = 18564
GCD(364, 102) = ( 364 x 102 ) / 18564
= 364 / 102
= 364
Step2:
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
= 2 / 26
= 2
Step3:
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
= 2 / 476
= 2
So, Greatest Common Divisor of 364, 102, 26, 476 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 102, 26, 476
The greatest common divisor of numbers 364, 102, 26, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 102, 26, 476 is 2.
1. What is the GCD of 364, 102, 26, 476?
GCD of given numbers 364, 102, 26, 476 is 2
2. How to calculate the greatest common divisor of 364, 102, 26, 476?
We can find the highest common divisor of 364, 102, 26, 476 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, 102, 26, 476 i.e 2.
3. How can I use the GCD of 364, 102, 26, 476Calculator?
Out the numbers 364, 102, 26, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.