Online GCD Calculator is useful to find the GCD of 200, 755, 148, 178 quickly. Get the easiest ways to solve the greatest common divisor of 200, 755, 148, 178 i.e 1 in different methods as follows.
Given Input numbers are 200, 755, 148, 178
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
GCD of numbers is the greatest common divisor
So, the GCD (200, 755, 148, 178) = 1.
Given numbers are 200, 755, 148, 178
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 755 are 5 x 151
Prime factors of 148 are 2 x 2 x 37
Prime factors of 178 are 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 755, 148, 178
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 755) = 30200
GCD(200, 755) = ( 200 x 755 ) / 30200
= 200 / 755
= 200
Step2:
LCM(5, 148) = 740
GCD(5, 148) = ( 5 x 148 ) / 740
= 5 / 148
= 5
Step3:
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
= 1 / 178
= 1
So, Greatest Common Divisor of 200, 755, 148, 178 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 755, 148, 178
The greatest common divisor of numbers 200, 755, 148, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 755, 148, 178 is 1.
1. What is the GCD of 200, 755, 148, 178?
GCD of given numbers 200, 755, 148, 178 is 1
2. How to calculate the greatest common divisor of 200, 755, 148, 178?
We can find the highest common divisor of 200, 755, 148, 178 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 200, 755, 148, 178 i.e 1.
3. How can I use the GCD of 200, 755, 148, 178Calculator?
Out the numbers 200, 755, 148, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.