Online GCD Calculator is useful to find the GCD of 800, 400, 676, 699 quickly. Get the easiest ways to solve the greatest common divisor of 800, 400, 676, 699 i.e 1 in different methods as follows.
Given Input numbers are 800, 400, 676, 699
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (800, 400, 676, 699) = 1.
Given numbers are 800, 400, 676, 699
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 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 400, 676, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 400) = 800
GCD(800, 400) = ( 800 x 400 ) / 800
= 800 / 400
= 800
Step2:
LCM(400, 676) = 67600
GCD(400, 676) = ( 400 x 676 ) / 67600
= 400 / 676
= 400
Step3:
LCM(4, 699) = 2796
GCD(4, 699) = ( 4 x 699 ) / 2796
= 4 / 699
= 4
So, Greatest Common Divisor of 800, 400, 676, 699 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 400, 676, 699
The greatest common divisor of numbers 800, 400, 676, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 400, 676, 699 is 1.
1. What is the GCD of 800, 400, 676, 699?
GCD of given numbers 800, 400, 676, 699 is 1
2. How to calculate the greatest common divisor of 800, 400, 676, 699?
We can find the highest common divisor of 800, 400, 676, 699 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, 400, 676, 699 i.e 1.
3. How can I use the GCD of 800, 400, 676, 699Calculator?
Out the numbers 800, 400, 676, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.