Online GCD Calculator is useful to find the GCD of 800, 960, 98, 331 quickly. Get the easiest ways to solve the greatest common divisor of 800, 960, 98, 331 i.e 1 in different methods as follows.
Given Input numbers are 800, 960, 98, 331
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 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 98 :
The positive integer divisors of 98 that completely divides 98 are.
1, 2, 7, 14, 49, 98
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
GCD of numbers is the greatest common divisor
So, the GCD (800, 960, 98, 331) = 1.
Given numbers are 800, 960, 98, 331
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 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 98 are 2 x 7 x 7
Prime factors of 331 are 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 960, 98, 331
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 960) = 4800
GCD(800, 960) = ( 800 x 960 ) / 4800
= 800 / 960
= 800
Step2:
LCM(160, 98) = 7840
GCD(160, 98) = ( 160 x 98 ) / 7840
= 160 / 98
= 160
Step3:
LCM(2, 331) = 662
GCD(2, 331) = ( 2 x 331 ) / 662
= 2 / 331
= 2
So, Greatest Common Divisor of 800, 960, 98, 331 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 960, 98, 331
The greatest common divisor of numbers 800, 960, 98, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 960, 98, 331 is 1.
1. What is the GCD of 800, 960, 98, 331?
GCD of given numbers 800, 960, 98, 331 is 1
2. How to calculate the greatest common divisor of 800, 960, 98, 331?
We can find the highest common divisor of 800, 960, 98, 331 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, 960, 98, 331 i.e 1.
3. How can I use the GCD of 800, 960, 98, 331Calculator?
Out the numbers 800, 960, 98, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.