Online GCD Calculator is useful to find the GCD of 132, 268, 890, 408 quickly. Get the easiest ways to solve the greatest common divisor of 132, 268, 890, 408 i.e 2 in different methods as follows.
Given Input numbers are 132, 268, 890, 408
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (132, 268, 890, 408) = 2.
Given numbers are 132, 268, 890, 408
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 268 are 2 x 2 x 67
Prime factors of 890 are 2 x 5 x 89
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 132, 268, 890, 408 is 2.
Given numbers are 132, 268, 890, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 268) = 8844
GCD(132, 268) = ( 132 x 268 ) / 8844
= 132 / 268
= 132
Step2:
LCM(4, 890) = 1780
GCD(4, 890) = ( 4 x 890 ) / 1780
= 4 / 890
= 4
Step3:
LCM(2, 408) = 408
GCD(2, 408) = ( 2 x 408 ) / 408
= 2 / 408
= 2
So, Greatest Common Divisor of 132, 268, 890, 408 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 268, 890, 408
The greatest common divisor of numbers 132, 268, 890, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 268, 890, 408 is 2.
1. What is the GCD of 132, 268, 890, 408?
GCD of given numbers 132, 268, 890, 408 is 2
2. How to calculate the greatest common divisor of 132, 268, 890, 408?
We can find the highest common divisor of 132, 268, 890, 408 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 132, 268, 890, 408 i.e 2.
3. How can I use the GCD of 132, 268, 890, 408Calculator?
Out the numbers 132, 268, 890, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.