Online GCD Calculator is useful to find the GCD of 800, 176, 380, 931 quickly. Get the easiest ways to solve the greatest common divisor of 800, 176, 380, 931 i.e 1 in different methods as follows.
Given Input numbers are 800, 176, 380, 931
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
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 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
GCD of numbers is the greatest common divisor
So, the GCD (800, 176, 380, 931) = 1.
Given numbers are 800, 176, 380, 931
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 931 are 7 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 176, 380, 931
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 176) = 8800
GCD(800, 176) = ( 800 x 176 ) / 8800
= 800 / 176
= 800
Step2:
LCM(16, 380) = 1520
GCD(16, 380) = ( 16 x 380 ) / 1520
= 16 / 380
= 16
Step3:
LCM(4, 931) = 3724
GCD(4, 931) = ( 4 x 931 ) / 3724
= 4 / 931
= 4
So, Greatest Common Divisor of 800, 176, 380, 931 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 176, 380, 931
The greatest common divisor of numbers 800, 176, 380, 931 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 176, 380, 931 is 1.
1. What is the GCD of 800, 176, 380, 931?
GCD of given numbers 800, 176, 380, 931 is 1
2. How to calculate the greatest common divisor of 800, 176, 380, 931?
We can find the highest common divisor of 800, 176, 380, 931 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 800, 176, 380, 931 i.e 1.
3. How can I use the GCD of 800, 176, 380, 931Calculator?
Out the numbers 800, 176, 380, 931 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.