Online GCD Calculator is useful to find the GCD of 284, 690, 775, 996 quickly. Get the easiest ways to solve the greatest common divisor of 284, 690, 775, 996 i.e 1 in different methods as follows.
Given Input numbers are 284, 690, 775, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (284, 690, 775, 996) = 1.
Given numbers are 284, 690, 775, 996
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 775 are 5 x 5 x 31
Prime factors of 996 are 2 x 2 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 284, 690, 775, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 690) = 97980
GCD(284, 690) = ( 284 x 690 ) / 97980
= 284 / 690
= 284
Step2:
LCM(2, 775) = 1550
GCD(2, 775) = ( 2 x 775 ) / 1550
= 2 / 775
= 2
Step3:
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
= 1 / 996
= 1
So, Greatest Common Divisor of 284, 690, 775, 996 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 690, 775, 996
The greatest common divisor of numbers 284, 690, 775, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 690, 775, 996 is 1.
1. What is the GCD of 284, 690, 775, 996?
GCD of given numbers 284, 690, 775, 996 is 1
2. How to calculate the greatest common divisor of 284, 690, 775, 996?
We can find the highest common divisor of 284, 690, 775, 996 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 284, 690, 775, 996 i.e 1.
3. How can I use the GCD of 284, 690, 775, 996Calculator?
Out the numbers 284, 690, 775, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.