Online GCD Calculator is useful to find the GCD of 987, 988, 144, 228 quickly. Get the easiest ways to solve the greatest common divisor of 987, 988, 144, 228 i.e 1 in different methods as follows.
Given Input numbers are 987, 988, 144, 228
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 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (987, 988, 144, 228) = 1.
Given numbers are 987, 988, 144, 228
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 228 are 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 988, 144, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 988) = 975156
GCD(987, 988) = ( 987 x 988 ) / 975156
= 987 / 988
= 987
Step2:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
Step3:
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
= 1 / 228
= 1
So, Greatest Common Divisor of 987, 988, 144, 228 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 988, 144, 228
The greatest common divisor of numbers 987, 988, 144, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 988, 144, 228 is 1.
1. What is the GCD of 987, 988, 144, 228?
GCD of given numbers 987, 988, 144, 228 is 1
2. How to calculate the greatest common divisor of 987, 988, 144, 228?
We can find the highest common divisor of 987, 988, 144, 228 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, 988, 144, 228 i.e 1.
3. How can I use the GCD of 987, 988, 144, 228Calculator?
Out the numbers 987, 988, 144, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.