Online GCD Calculator is useful to find the GCD of 464, 750, 380, 200 quickly. Get the easiest ways to solve the greatest common divisor of 464, 750, 380, 200 i.e 2 in different methods as follows.
Given Input numbers are 464, 750, 380, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 (464, 750, 380, 200) = 2.
Given numbers are 464, 750, 380, 200
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 464, 750, 380, 200 is 2.
Given numbers are 464, 750, 380, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 750) = 174000
GCD(464, 750) = ( 464 x 750 ) / 174000
= 464 / 750
= 464
Step2:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 464, 750, 380, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 750, 380, 200
The greatest common divisor of numbers 464, 750, 380, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 750, 380, 200 is 2.
1. What is the GCD of 464, 750, 380, 200?
GCD of given numbers 464, 750, 380, 200 is 2
2. How to calculate the greatest common divisor of 464, 750, 380, 200?
We can find the highest common divisor of 464, 750, 380, 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 464, 750, 380, 200 i.e 2.
3. How can I use the GCD of 464, 750, 380, 200Calculator?
Out the numbers 464, 750, 380, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.