Online GCD Calculator is useful to find the GCD of 244, 148, 296, 200 quickly. Get the easiest ways to solve the greatest common divisor of 244, 148, 296, 200 i.e 4 in different methods as follows.
Given Input numbers are 244, 148, 296, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 244 :
The positive integer divisors of 244 that completely divides 244 are.
1, 2, 4, 61, 122, 244
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
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
GCD of numbers is the greatest common divisor
So, the GCD (244, 148, 296, 200) = 4.
Given numbers are 244, 148, 296, 200
The list of prime factors of all numbers are
Prime factors of 244 are 2 x 2 x 61
Prime factors of 148 are 2 x 2 x 37
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 244, 148, 296, 200 is 4.
Given numbers are 244, 148, 296, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(244, 148) = 9028
GCD(244, 148) = ( 244 x 148 ) / 9028
= 244 / 148
= 244
Step2:
LCM(4, 296) = 296
GCD(4, 296) = ( 4 x 296 ) / 296
= 4 / 296
= 4
Step3:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
So, Greatest Common Divisor of 244, 148, 296, 200 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 244, 148, 296, 200
The greatest common divisor of numbers 244, 148, 296, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 244, 148, 296, 200 is 4.
1. What is the GCD of 244, 148, 296, 200?
GCD of given numbers 244, 148, 296, 200 is 4
2. How to calculate the greatest common divisor of 244, 148, 296, 200?
We can find the highest common divisor of 244, 148, 296, 200 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 244, 148, 296, 200 i.e 4.
3. How can I use the GCD of 244, 148, 296, 200Calculator?
Out the numbers 244, 148, 296, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.