Online GCD Calculator is useful to find the GCD of 523, 150, 262, 480 quickly. Get the easiest ways to solve the greatest common divisor of 523, 150, 262, 480 i.e 1 in different methods as follows.
Given Input numbers are 523, 150, 262, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (523, 150, 262, 480) = 1.
Given numbers are 523, 150, 262, 480
The list of prime factors of all numbers are
Prime factors of 523 are 523
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 262 are 2 x 131
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 523, 150, 262, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(523, 150) = 78450
GCD(523, 150) = ( 523 x 150 ) / 78450
= 523 / 150
= 523
Step2:
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
= 1 / 262
= 1
Step3:
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
= 1 / 480
= 1
So, Greatest Common Divisor of 523, 150, 262, 480 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 523, 150, 262, 480
The greatest common divisor of numbers 523, 150, 262, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 523, 150, 262, 480 is 1.
1. What is the GCD of 523, 150, 262, 480?
GCD of given numbers 523, 150, 262, 480 is 1
2. How to calculate the greatest common divisor of 523, 150, 262, 480?
We can find the highest common divisor of 523, 150, 262, 480 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 523, 150, 262, 480 i.e 1.
3. How can I use the GCD of 523, 150, 262, 480Calculator?
Out the numbers 523, 150, 262, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.