Online GCD Calculator is useful to find the GCD of 102, 104, 472, 764 quickly. Get the easiest ways to solve the greatest common divisor of 102, 104, 472, 764 i.e 2 in different methods as follows.
Given Input numbers are 102, 104, 472, 764
In the factoring method, we have to find the divisors of all numbers
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (102, 104, 472, 764) = 2.
Given numbers are 102, 104, 472, 764
The list of prime factors of all numbers are
Prime factors of 102 are 2 x 3 x 17
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 764 are 2 x 2 x 191
The highest common occurrence is 21
Therefore, GCD of 102, 104, 472, 764 is 2.
Given numbers are 102, 104, 472, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(102, 104) = 5304
GCD(102, 104) = ( 102 x 104 ) / 5304
= 102 / 104
= 102
Step2:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
Step3:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
So, Greatest Common Divisor of 102, 104, 472, 764 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 102, 104, 472, 764
The greatest common divisor of numbers 102, 104, 472, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 104, 472, 764 is 2.
1. What is the GCD of 102, 104, 472, 764?
GCD of given numbers 102, 104, 472, 764 is 2
2. How to calculate the greatest common divisor of 102, 104, 472, 764?
We can find the highest common divisor of 102, 104, 472, 764 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 102, 104, 472, 764 i.e 2.
3. How can I use the GCD of 102, 104, 472, 764Calculator?
Out the numbers 102, 104, 472, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.