Online GCD Calculator is useful to find the GCD of 800, 620, 869, 112 quickly. Get the easiest ways to solve the greatest common divisor of 800, 620, 869, 112 i.e 1 in different methods as follows.
Given Input numbers are 800, 620, 869, 112
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 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (800, 620, 869, 112) = 1.
Given numbers are 800, 620, 869, 112
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 620 are 2 x 2 x 5 x 31
Prime factors of 869 are 11 x 79
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 620, 869, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 620) = 24800
GCD(800, 620) = ( 800 x 620 ) / 24800
= 800 / 620
= 800
Step2:
LCM(20, 869) = 17380
GCD(20, 869) = ( 20 x 869 ) / 17380
= 20 / 869
= 20
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 800, 620, 869, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 620, 869, 112
The greatest common divisor of numbers 800, 620, 869, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 620, 869, 112 is 1.
1. What is the GCD of 800, 620, 869, 112?
GCD of given numbers 800, 620, 869, 112 is 1
2. How to calculate the greatest common divisor of 800, 620, 869, 112?
We can find the highest common divisor of 800, 620, 869, 112 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, 620, 869, 112 i.e 1.
3. How can I use the GCD of 800, 620, 869, 112Calculator?
Out the numbers 800, 620, 869, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.