Online GCD Calculator is useful to find the GCD of 147, 360, 407, 536 quickly. Get the easiest ways to solve the greatest common divisor of 147, 360, 407, 536 i.e 1 in different methods as follows.
Given Input numbers are 147, 360, 407, 536
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (147, 360, 407, 536) = 1.
Given numbers are 147, 360, 407, 536
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 407 are 11 x 37
Prime factors of 536 are 2 x 2 x 2 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 147, 360, 407, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 360) = 17640
GCD(147, 360) = ( 147 x 360 ) / 17640
= 147 / 360
= 147
Step2:
LCM(3, 407) = 1221
GCD(3, 407) = ( 3 x 407 ) / 1221
= 3 / 407
= 3
Step3:
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
= 1 / 536
= 1
So, Greatest Common Divisor of 147, 360, 407, 536 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 360, 407, 536
The greatest common divisor of numbers 147, 360, 407, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 360, 407, 536 is 1.
1. What is the GCD of 147, 360, 407, 536?
GCD of given numbers 147, 360, 407, 536 is 1
2. How to calculate the greatest common divisor of 147, 360, 407, 536?
We can find the highest common divisor of 147, 360, 407, 536 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 147, 360, 407, 536 i.e 1.
3. How can I use the GCD of 147, 360, 407, 536Calculator?
Out the numbers 147, 360, 407, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.