Online GCD Calculator is useful to find the GCD of 800, 352, 902, 997 quickly. Get the easiest ways to solve the greatest common divisor of 800, 352, 902, 997 i.e 1 in different methods as follows.
Given Input numbers are 800, 352, 902, 997
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 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (800, 352, 902, 997) = 1.
Given numbers are 800, 352, 902, 997
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 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 902 are 2 x 11 x 41
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 352, 902, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 352) = 8800
GCD(800, 352) = ( 800 x 352 ) / 8800
= 800 / 352
= 800
Step2:
LCM(32, 902) = 14432
GCD(32, 902) = ( 32 x 902 ) / 14432
= 32 / 902
= 32
Step3:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
So, Greatest Common Divisor of 800, 352, 902, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 352, 902, 997
The greatest common divisor of numbers 800, 352, 902, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 352, 902, 997 is 1.
1. What is the GCD of 800, 352, 902, 997?
GCD of given numbers 800, 352, 902, 997 is 1
2. How to calculate the greatest common divisor of 800, 352, 902, 997?
We can find the highest common divisor of 800, 352, 902, 997 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, 352, 902, 997 i.e 1.
3. How can I use the GCD of 800, 352, 902, 997Calculator?
Out the numbers 800, 352, 902, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.