Online GCD Calculator is useful to find the GCD of 705, 329, 645, 429 quickly. Get the easiest ways to solve the greatest common divisor of 705, 329, 645, 429 i.e 1 in different methods as follows.
Given Input numbers are 705, 329, 645, 429
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
GCD of numbers is the greatest common divisor
So, the GCD (705, 329, 645, 429) = 1.
Given numbers are 705, 329, 645, 429
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 329 are 7 x 47
Prime factors of 645 are 3 x 5 x 43
Prime factors of 429 are 3 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 329, 645, 429
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 329) = 4935
GCD(705, 329) = ( 705 x 329 ) / 4935
= 705 / 329
= 705
Step2:
LCM(47, 645) = 30315
GCD(47, 645) = ( 47 x 645 ) / 30315
= 47 / 645
= 47
Step3:
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
= 1 / 429
= 1
So, Greatest Common Divisor of 705, 329, 645, 429 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 329, 645, 429
The greatest common divisor of numbers 705, 329, 645, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 329, 645, 429 is 1.
1. What is the GCD of 705, 329, 645, 429?
GCD of given numbers 705, 329, 645, 429 is 1
2. How to calculate the greatest common divisor of 705, 329, 645, 429?
We can find the highest common divisor of 705, 329, 645, 429 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 705, 329, 645, 429 i.e 1.
3. How can I use the GCD of 705, 329, 645, 429Calculator?
Out the numbers 705, 329, 645, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.