Online GCD Calculator is useful to find the GCD of 500, 884, 11, 946 quickly. Get the easiest ways to solve the greatest common divisor of 500, 884, 11, 946 i.e 1 in different methods as follows.
Given Input numbers are 500, 884, 11, 946
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 11 :
The positive integer divisors of 11 that completely divides 11 are.
1, 11
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (500, 884, 11, 946) = 1.
Given numbers are 500, 884, 11, 946
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 11 are 11
Prime factors of 946 are 2 x 11 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 884, 11, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 884) = 110500
GCD(500, 884) = ( 500 x 884 ) / 110500
= 500 / 884
= 500
Step2:
LCM(4, 11) = 44
GCD(4, 11) = ( 4 x 11 ) / 44
= 4 / 11
= 4
Step3:
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
= 1 / 946
= 1
So, Greatest Common Divisor of 500, 884, 11, 946 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 884, 11, 946
The greatest common divisor of numbers 500, 884, 11, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 884, 11, 946 is 1.
1. What is the GCD of 500, 884, 11, 946?
GCD of given numbers 500, 884, 11, 946 is 1
2. How to calculate the greatest common divisor of 500, 884, 11, 946?
We can find the highest common divisor of 500, 884, 11, 946 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 500, 884, 11, 946 i.e 1.
3. How can I use the GCD of 500, 884, 11, 946Calculator?
Out the numbers 500, 884, 11, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.