Online GCD Calculator is useful to find the GCD of 471, 506, 144, 737 quickly. Get the easiest ways to solve the greatest common divisor of 471, 506, 144, 737 i.e 1 in different methods as follows.
Given Input numbers are 471, 506, 144, 737
In the factoring method, we have to find the divisors of all numbers
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
GCD of numbers is the greatest common divisor
So, the GCD (471, 506, 144, 737) = 1.
Given numbers are 471, 506, 144, 737
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 506 are 2 x 11 x 23
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 737 are 11 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 471, 506, 144, 737
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 506) = 238326
GCD(471, 506) = ( 471 x 506 ) / 238326
= 471 / 506
= 471
Step2:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
Step3:
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
= 1 / 737
= 1
So, Greatest Common Divisor of 471, 506, 144, 737 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 471, 506, 144, 737
The greatest common divisor of numbers 471, 506, 144, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 506, 144, 737 is 1.
1. What is the GCD of 471, 506, 144, 737?
GCD of given numbers 471, 506, 144, 737 is 1
2. How to calculate the greatest common divisor of 471, 506, 144, 737?
We can find the highest common divisor of 471, 506, 144, 737 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 471, 506, 144, 737 i.e 1.
3. How can I use the GCD of 471, 506, 144, 737Calculator?
Out the numbers 471, 506, 144, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.