Online GCD Calculator is useful to find the GCD of 660, 200, 964, 254 quickly. Get the easiest ways to solve the greatest common divisor of 660, 200, 964, 254 i.e 2 in different methods as follows.
Given Input numbers are 660, 200, 964, 254
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
GCD of numbers is the greatest common divisor
So, the GCD (660, 200, 964, 254) = 2.
Given numbers are 660, 200, 964, 254
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 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 254 are 2 x 127
The highest common occurrence is 21
Therefore, GCD of 660, 200, 964, 254 is 2.
Given numbers are 660, 200, 964, 254
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 200) = 6600
GCD(660, 200) = ( 660 x 200 ) / 6600
= 660 / 200
= 660
Step2:
LCM(20, 964) = 4820
GCD(20, 964) = ( 20 x 964 ) / 4820
= 20 / 964
= 20
Step3:
LCM(4, 254) = 508
GCD(4, 254) = ( 4 x 254 ) / 508
= 4 / 254
= 4
So, Greatest Common Divisor of 660, 200, 964, 254 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 200, 964, 254
The greatest common divisor of numbers 660, 200, 964, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 200, 964, 254 is 2.
1. What is the GCD of 660, 200, 964, 254?
GCD of given numbers 660, 200, 964, 254 is 2
2. How to calculate the greatest common divisor of 660, 200, 964, 254?
We can find the highest common divisor of 660, 200, 964, 254 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 660, 200, 964, 254 i.e 2.
3. How can I use the GCD of 660, 200, 964, 254Calculator?
Out the numbers 660, 200, 964, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.