Online GCD Calculator is useful to find the GCD of 990, 755, 521, 924 quickly. Get the easiest ways to solve the greatest common divisor of 990, 755, 521, 924 i.e 1 in different methods as follows.
Given Input numbers are 990, 755, 521, 924
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 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 521 :
The positive integer divisors of 521 that completely divides 521 are.
1, 521
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (990, 755, 521, 924) = 1.
Given numbers are 990, 755, 521, 924
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 755 are 5 x 151
Prime factors of 521 are 521
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 755, 521, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 755) = 149490
GCD(990, 755) = ( 990 x 755 ) / 149490
= 990 / 755
= 990
Step2:
LCM(5, 521) = 2605
GCD(5, 521) = ( 5 x 521 ) / 2605
= 5 / 521
= 5
Step3:
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
= 1 / 924
= 1
So, Greatest Common Divisor of 990, 755, 521, 924 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 755, 521, 924
The greatest common divisor of numbers 990, 755, 521, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 755, 521, 924 is 1.
1. What is the GCD of 990, 755, 521, 924?
GCD of given numbers 990, 755, 521, 924 is 1
2. How to calculate the greatest common divisor of 990, 755, 521, 924?
We can find the highest common divisor of 990, 755, 521, 924 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, 755, 521, 924 i.e 1.
3. How can I use the GCD of 990, 755, 521, 924Calculator?
Out the numbers 990, 755, 521, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.