Online GCD Calculator is useful to find the GCD of 987, 213, 144, 455 quickly. Get the easiest ways to solve the greatest common divisor of 987, 213, 144, 455 i.e 1 in different methods as follows.
Given Input numbers are 987, 213, 144, 455
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 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
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 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
GCD of numbers is the greatest common divisor
So, the GCD (987, 213, 144, 455) = 1.
Given numbers are 987, 213, 144, 455
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 213 are 3 x 71
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 455 are 5 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 213, 144, 455
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 213) = 70077
GCD(987, 213) = ( 987 x 213 ) / 70077
= 987 / 213
= 987
Step2:
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
= 3 / 144
= 3
Step3:
LCM(3, 455) = 1365
GCD(3, 455) = ( 3 x 455 ) / 1365
= 3 / 455
= 3
So, Greatest Common Divisor of 987, 213, 144, 455 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 213, 144, 455
The greatest common divisor of numbers 987, 213, 144, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 213, 144, 455 is 1.
1. What is the GCD of 987, 213, 144, 455?
GCD of given numbers 987, 213, 144, 455 is 1
2. How to calculate the greatest common divisor of 987, 213, 144, 455?
We can find the highest common divisor of 987, 213, 144, 455 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, 213, 144, 455 i.e 1.
3. How can I use the GCD of 987, 213, 144, 455Calculator?
Out the numbers 987, 213, 144, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.