Online GCD Calculator is useful to find the GCD of 520, 375, 455, 144 quickly. Get the easiest ways to solve the greatest common divisor of 520, 375, 455, 144 i.e 1 in different methods as follows.
Given Input numbers are 520, 375, 455, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
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
GCD of numbers is the greatest common divisor
So, the GCD (520, 375, 455, 144) = 1.
Given numbers are 520, 375, 455, 144
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 455 are 5 x 7 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 520, 375, 455, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 375) = 39000
GCD(520, 375) = ( 520 x 375 ) / 39000
= 520 / 375
= 520
Step2:
LCM(5, 455) = 455
GCD(5, 455) = ( 5 x 455 ) / 455
= 5 / 455
= 5
Step3:
LCM(5, 144) = 720
GCD(5, 144) = ( 5 x 144 ) / 720
= 5 / 144
= 5
So, Greatest Common Divisor of 520, 375, 455, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 375, 455, 144
The greatest common divisor of numbers 520, 375, 455, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 375, 455, 144 is 1.
1. What is the GCD of 520, 375, 455, 144?
GCD of given numbers 520, 375, 455, 144 is 1
2. How to calculate the greatest common divisor of 520, 375, 455, 144?
We can find the highest common divisor of 520, 375, 455, 144 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 520, 375, 455, 144 i.e 1.
3. How can I use the GCD of 520, 375, 455, 144Calculator?
Out the numbers 520, 375, 455, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.