Online GCD Calculator is useful to find the GCD of 737, 759, 861, 990 quickly. Get the easiest ways to solve the greatest common divisor of 737, 759, 861, 990 i.e 1 in different methods as follows.
Given Input numbers are 737, 759, 861, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
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
GCD of numbers is the greatest common divisor
So, the GCD (737, 759, 861, 990) = 1.
Given numbers are 737, 759, 861, 990
The list of prime factors of all numbers are
Prime factors of 737 are 11 x 67
Prime factors of 759 are 3 x 11 x 23
Prime factors of 861 are 3 x 7 x 41
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 737, 759, 861, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(737, 759) = 50853
GCD(737, 759) = ( 737 x 759 ) / 50853
= 737 / 759
= 737
Step2:
LCM(11, 861) = 9471
GCD(11, 861) = ( 11 x 861 ) / 9471
= 11 / 861
= 11
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 737, 759, 861, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 737, 759, 861, 990
The greatest common divisor of numbers 737, 759, 861, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 759, 861, 990 is 1.
1. What is the GCD of 737, 759, 861, 990?
GCD of given numbers 737, 759, 861, 990 is 1
2. How to calculate the greatest common divisor of 737, 759, 861, 990?
We can find the highest common divisor of 737, 759, 861, 990 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 737, 759, 861, 990 i.e 1.
3. How can I use the GCD of 737, 759, 861, 990Calculator?
Out the numbers 737, 759, 861, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.