Online GCD Calculator is useful to find the GCD of 700, 344, 864, 404 quickly. Get the easiest ways to solve the greatest common divisor of 700, 344, 864, 404 i.e 4 in different methods as follows.
Given Input numbers are 700, 344, 864, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (700, 344, 864, 404) = 4.
Given numbers are 700, 344, 864, 404
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 404 are 2 x 2 x 101
The highest common occurrence is 22
Therefore, GCD of 700, 344, 864, 404 is 4.
Given numbers are 700, 344, 864, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 344) = 60200
GCD(700, 344) = ( 700 x 344 ) / 60200
= 700 / 344
= 700
Step2:
LCM(4, 864) = 864
GCD(4, 864) = ( 4 x 864 ) / 864
= 4 / 864
= 4
Step3:
LCM(4, 404) = 404
GCD(4, 404) = ( 4 x 404 ) / 404
= 4 / 404
= 4
So, Greatest Common Divisor of 700, 344, 864, 404 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 344, 864, 404
The greatest common divisor of numbers 700, 344, 864, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 344, 864, 404 is 4.
1. What is the GCD of 700, 344, 864, 404?
GCD of given numbers 700, 344, 864, 404 is 4
2. How to calculate the greatest common divisor of 700, 344, 864, 404?
We can find the highest common divisor of 700, 344, 864, 404 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 700, 344, 864, 404 i.e 4.
3. How can I use the GCD of 700, 344, 864, 404Calculator?
Out the numbers 700, 344, 864, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.