Online GCD Calculator is useful to find the GCD of 504, 960, 149, 977 quickly. Get the easiest ways to solve the greatest common divisor of 504, 960, 149, 977 i.e 1 in different methods as follows.
Given Input numbers are 504, 960, 149, 977
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (504, 960, 149, 977) = 1.
Given numbers are 504, 960, 149, 977
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 149 are 149
Prime factors of 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 504, 960, 149, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 960) = 20160
GCD(504, 960) = ( 504 x 960 ) / 20160
= 504 / 960
= 504
Step2:
LCM(24, 149) = 3576
GCD(24, 149) = ( 24 x 149 ) / 3576
= 24 / 149
= 24
Step3:
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
= 1 / 977
= 1
So, Greatest Common Divisor of 504, 960, 149, 977 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 960, 149, 977
The greatest common divisor of numbers 504, 960, 149, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 960, 149, 977 is 1.
1. What is the GCD of 504, 960, 149, 977?
GCD of given numbers 504, 960, 149, 977 is 1
2. How to calculate the greatest common divisor of 504, 960, 149, 977?
We can find the highest common divisor of 504, 960, 149, 977 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 504, 960, 149, 977 i.e 1.
3. How can I use the GCD of 504, 960, 149, 977Calculator?
Out the numbers 504, 960, 149, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.