Online GCD Calculator is useful to find the GCD of 800, 120, 269, 929 quickly. Get the easiest ways to solve the greatest common divisor of 800, 120, 269, 929 i.e 1 in different methods as follows.
Given Input numbers are 800, 120, 269, 929
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 929 :
The positive integer divisors of 929 that completely divides 929 are.
1, 929
GCD of numbers is the greatest common divisor
So, the GCD (800, 120, 269, 929) = 1.
Given numbers are 800, 120, 269, 929
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 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 269 are 269
Prime factors of 929 are 929
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 120, 269, 929
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 120) = 2400
GCD(800, 120) = ( 800 x 120 ) / 2400
= 800 / 120
= 800
Step2:
LCM(40, 269) = 10760
GCD(40, 269) = ( 40 x 269 ) / 10760
= 40 / 269
= 40
Step3:
LCM(1, 929) = 929
GCD(1, 929) = ( 1 x 929 ) / 929
= 1 / 929
= 1
So, Greatest Common Divisor of 800, 120, 269, 929 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 120, 269, 929
The greatest common divisor of numbers 800, 120, 269, 929 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 120, 269, 929 is 1.
1. What is the GCD of 800, 120, 269, 929?
GCD of given numbers 800, 120, 269, 929 is 1
2. How to calculate the greatest common divisor of 800, 120, 269, 929?
We can find the highest common divisor of 800, 120, 269, 929 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, 120, 269, 929 i.e 1.
3. How can I use the GCD of 800, 120, 269, 929Calculator?
Out the numbers 800, 120, 269, 929 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.