Online GCD Calculator is useful to find the GCD of 532, 200, 380 quickly. Get the easiest ways to solve the greatest common divisor of 532, 200, 380 i.e 4 in different methods as follows.
Given Input numbers are 532, 200, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
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 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (532, 200, 380) = 4.
Given numbers are 532, 200, 380
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 22
Therefore, GCD of 532, 200, 380 is 4.
Given numbers are 532, 200, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 200) = 26600
GCD(532, 200) = ( 532 x 200 ) / 26600
= 532 / 200
= 532
Step2:
LCM(4, 380) = 380
GCD(4, 380) = ( 4 x 380 ) / 380
= 4 / 380
= 4
So, Greatest Common Divisor of 532, 200, 380 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 532, 200, 380
The greatest common divisor of numbers 532, 200, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 200, 380 is 4.
1. What is the GCD of 532, 200, 380?
GCD of given numbers 532, 200, 380 is 4
2. How to calculate the greatest common divisor of 532, 200, 380?
We can find the highest common divisor of 532, 200, 380 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 532, 200, 380 i.e 4.
3. How can I use the GCD of 532, 200, 380Calculator?
Out the numbers 532, 200, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.