Online GCD Calculator is useful to find the GCD of 148, 136, 365, 600 quickly. Get the easiest ways to solve the greatest common divisor of 148, 136, 365, 600 i.e 1 in different methods as follows.
Given Input numbers are 148, 136, 365, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (148, 136, 365, 600) = 1.
Given numbers are 148, 136, 365, 600
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 365 are 5 x 73
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 148, 136, 365, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 136) = 5032
GCD(148, 136) = ( 148 x 136 ) / 5032
= 148 / 136
= 148
Step2:
LCM(4, 365) = 1460
GCD(4, 365) = ( 4 x 365 ) / 1460
= 4 / 365
= 4
Step3:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
So, Greatest Common Divisor of 148, 136, 365, 600 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 136, 365, 600
The greatest common divisor of numbers 148, 136, 365, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 136, 365, 600 is 1.
1. What is the GCD of 148, 136, 365, 600?
GCD of given numbers 148, 136, 365, 600 is 1
2. How to calculate the greatest common divisor of 148, 136, 365, 600?
We can find the highest common divisor of 148, 136, 365, 600 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 148, 136, 365, 600 i.e 1.
3. How can I use the GCD of 148, 136, 365, 600Calculator?
Out the numbers 148, 136, 365, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.