Online GCD Calculator is useful to find the GCD of 264, 200, 964, 290 quickly. Get the easiest ways to solve the greatest common divisor of 264, 200, 964, 290 i.e 2 in different methods as follows.
Given Input numbers are 264, 200, 964, 290
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (264, 200, 964, 290) = 2.
Given numbers are 264, 200, 964, 290
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 964 are 2 x 2 x 241
Prime factors of 290 are 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 264, 200, 964, 290 is 2.
Given numbers are 264, 200, 964, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 200) = 6600
GCD(264, 200) = ( 264 x 200 ) / 6600
= 264 / 200
= 264
Step2:
LCM(8, 964) = 1928
GCD(8, 964) = ( 8 x 964 ) / 1928
= 8 / 964
= 8
Step3:
LCM(4, 290) = 580
GCD(4, 290) = ( 4 x 290 ) / 580
= 4 / 290
= 4
So, Greatest Common Divisor of 264, 200, 964, 290 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 200, 964, 290
The greatest common divisor of numbers 264, 200, 964, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 200, 964, 290 is 2.
1. What is the GCD of 264, 200, 964, 290?
GCD of given numbers 264, 200, 964, 290 is 2
2. How to calculate the greatest common divisor of 264, 200, 964, 290?
We can find the highest common divisor of 264, 200, 964, 290 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 264, 200, 964, 290 i.e 2.
3. How can I use the GCD of 264, 200, 964, 290Calculator?
Out the numbers 264, 200, 964, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.