Online GCD Calculator is useful to find the GCD of 434, 349, 864, 700 quickly. Get the easiest ways to solve the greatest common divisor of 434, 349, 864, 700 i.e 1 in different methods as follows.
Given Input numbers are 434, 349, 864, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
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 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
GCD of numbers is the greatest common divisor
So, the GCD (434, 349, 864, 700) = 1.
Given numbers are 434, 349, 864, 700
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 349 are 349
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 434, 349, 864, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 349) = 151466
GCD(434, 349) = ( 434 x 349 ) / 151466
= 434 / 349
= 434
Step2:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
Step3:
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
= 1 / 700
= 1
So, Greatest Common Divisor of 434, 349, 864, 700 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 349, 864, 700
The greatest common divisor of numbers 434, 349, 864, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 349, 864, 700 is 1.
1. What is the GCD of 434, 349, 864, 700?
GCD of given numbers 434, 349, 864, 700 is 1
2. How to calculate the greatest common divisor of 434, 349, 864, 700?
We can find the highest common divisor of 434, 349, 864, 700 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 434, 349, 864, 700 i.e 1.
3. How can I use the GCD of 434, 349, 864, 700Calculator?
Out the numbers 434, 349, 864, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.