Online GCD Calculator is useful to find the GCD of 990, 737, 906, 507 quickly. Get the easiest ways to solve the greatest common divisor of 990, 737, 906, 507 i.e 1 in different methods as follows.
Given Input numbers are 990, 737, 906, 507
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
GCD of numbers is the greatest common divisor
So, the GCD (990, 737, 906, 507) = 1.
Given numbers are 990, 737, 906, 507
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 737 are 11 x 67
Prime factors of 906 are 2 x 3 x 151
Prime factors of 507 are 3 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 737, 906, 507
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 737) = 66330
GCD(990, 737) = ( 990 x 737 ) / 66330
= 990 / 737
= 990
Step2:
LCM(11, 906) = 9966
GCD(11, 906) = ( 11 x 906 ) / 9966
= 11 / 906
= 11
Step3:
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
= 1 / 507
= 1
So, Greatest Common Divisor of 990, 737, 906, 507 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 737, 906, 507
The greatest common divisor of numbers 990, 737, 906, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 737, 906, 507 is 1.
1. What is the GCD of 990, 737, 906, 507?
GCD of given numbers 990, 737, 906, 507 is 1
2. How to calculate the greatest common divisor of 990, 737, 906, 507?
We can find the highest common divisor of 990, 737, 906, 507 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 990, 737, 906, 507 i.e 1.
3. How can I use the GCD of 990, 737, 906, 507Calculator?
Out the numbers 990, 737, 906, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.