Online GCD Calculator is useful to find the GCD of 800, 508, 249, 660 quickly. Get the easiest ways to solve the greatest common divisor of 800, 508, 249, 660 i.e 1 in different methods as follows.
Given Input numbers are 800, 508, 249, 660
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (800, 508, 249, 660) = 1.
Given numbers are 800, 508, 249, 660
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 508 are 2 x 2 x 127
Prime factors of 249 are 3 x 83
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 508, 249, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 508) = 101600
GCD(800, 508) = ( 800 x 508 ) / 101600
= 800 / 508
= 800
Step2:
LCM(4, 249) = 996
GCD(4, 249) = ( 4 x 249 ) / 996
= 4 / 249
= 4
Step3:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
So, Greatest Common Divisor of 800, 508, 249, 660 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 508, 249, 660
The greatest common divisor of numbers 800, 508, 249, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 508, 249, 660 is 1.
1. What is the GCD of 800, 508, 249, 660?
GCD of given numbers 800, 508, 249, 660 is 1
2. How to calculate the greatest common divisor of 800, 508, 249, 660?
We can find the highest common divisor of 800, 508, 249, 660 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, 508, 249, 660 i.e 1.
3. How can I use the GCD of 800, 508, 249, 660Calculator?
Out the numbers 800, 508, 249, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.