Online GCD Calculator is useful to find the GCD of 250, 974, 884, 288 quickly. Get the easiest ways to solve the greatest common divisor of 250, 974, 884, 288 i.e 2 in different methods as follows.
Given Input numbers are 250, 974, 884, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (250, 974, 884, 288) = 2.
Given numbers are 250, 974, 884, 288
The list of prime factors of all numbers are
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 974 are 2 x 487
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 250, 974, 884, 288 is 2.
Given numbers are 250, 974, 884, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(250, 974) = 121750
GCD(250, 974) = ( 250 x 974 ) / 121750
= 250 / 974
= 250
Step2:
LCM(2, 884) = 884
GCD(2, 884) = ( 2 x 884 ) / 884
= 2 / 884
= 2
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 250, 974, 884, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 250, 974, 884, 288
The greatest common divisor of numbers 250, 974, 884, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 974, 884, 288 is 2.
1. What is the GCD of 250, 974, 884, 288?
GCD of given numbers 250, 974, 884, 288 is 2
2. How to calculate the greatest common divisor of 250, 974, 884, 288?
We can find the highest common divisor of 250, 974, 884, 288 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 250, 974, 884, 288 i.e 2.
3. How can I use the GCD of 250, 974, 884, 288Calculator?
Out the numbers 250, 974, 884, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.