Online GCD Calculator is useful to find the GCD of 987, 669, 428, 984 quickly. Get the easiest ways to solve the greatest common divisor of 987, 669, 428, 984 i.e 1 in different methods as follows.
Given Input numbers are 987, 669, 428, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (987, 669, 428, 984) = 1.
Given numbers are 987, 669, 428, 984
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 669 are 3 x 223
Prime factors of 428 are 2 x 2 x 107
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 669, 428, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 669) = 220101
GCD(987, 669) = ( 987 x 669 ) / 220101
= 987 / 669
= 987
Step2:
LCM(3, 428) = 1284
GCD(3, 428) = ( 3 x 428 ) / 1284
= 3 / 428
= 3
Step3:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
So, Greatest Common Divisor of 987, 669, 428, 984 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 669, 428, 984
The greatest common divisor of numbers 987, 669, 428, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 669, 428, 984 is 1.
1. What is the GCD of 987, 669, 428, 984?
GCD of given numbers 987, 669, 428, 984 is 1
2. How to calculate the greatest common divisor of 987, 669, 428, 984?
We can find the highest common divisor of 987, 669, 428, 984 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 987, 669, 428, 984 i.e 1.
3. How can I use the GCD of 987, 669, 428, 984Calculator?
Out the numbers 987, 669, 428, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.