Online GCD Calculator is useful to find the GCD of 144, 478, 377, 987 quickly. Get the easiest ways to solve the greatest common divisor of 144, 478, 377, 987 i.e 1 in different methods as follows.
Given Input numbers are 144, 478, 377, 987
In the factoring method, we have to find the divisors of all numbers
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 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 377 :
The positive integer divisors of 377 that completely divides 377 are.
1, 13, 29, 377
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (144, 478, 377, 987) = 1.
Given numbers are 144, 478, 377, 987
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 478 are 2 x 239
Prime factors of 377 are 13 x 29
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 478, 377, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 478) = 34416
GCD(144, 478) = ( 144 x 478 ) / 34416
= 144 / 478
= 144
Step2:
LCM(2, 377) = 754
GCD(2, 377) = ( 2 x 377 ) / 754
= 2 / 377
= 2
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 144, 478, 377, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 478, 377, 987
The greatest common divisor of numbers 144, 478, 377, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 478, 377, 987 is 1.
1. What is the GCD of 144, 478, 377, 987?
GCD of given numbers 144, 478, 377, 987 is 1
2. How to calculate the greatest common divisor of 144, 478, 377, 987?
We can find the highest common divisor of 144, 478, 377, 987 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 144, 478, 377, 987 i.e 1.
3. How can I use the GCD of 144, 478, 377, 987Calculator?
Out the numbers 144, 478, 377, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.