Online GCD Calculator is useful to find the GCD of 990, 764, 402, 780 quickly. Get the easiest ways to solve the greatest common divisor of 990, 764, 402, 780 i.e 2 in different methods as follows.
Given Input numbers are 990, 764, 402, 780
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 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (990, 764, 402, 780) = 2.
Given numbers are 990, 764, 402, 780
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 764 are 2 x 2 x 191
Prime factors of 402 are 2 x 3 x 67
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 990, 764, 402, 780 is 2.
Given numbers are 990, 764, 402, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 764) = 378180
GCD(990, 764) = ( 990 x 764 ) / 378180
= 990 / 764
= 990
Step2:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
Step3:
LCM(2, 780) = 780
GCD(2, 780) = ( 2 x 780 ) / 780
= 2 / 780
= 2
So, Greatest Common Divisor of 990, 764, 402, 780 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 764, 402, 780
The greatest common divisor of numbers 990, 764, 402, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 764, 402, 780 is 2.
1. What is the GCD of 990, 764, 402, 780?
GCD of given numbers 990, 764, 402, 780 is 2
2. How to calculate the greatest common divisor of 990, 764, 402, 780?
We can find the highest common divisor of 990, 764, 402, 780 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, 764, 402, 780 i.e 2.
3. How can I use the GCD of 990, 764, 402, 780Calculator?
Out the numbers 990, 764, 402, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.