Online GCD Calculator is useful to find the GCD of 829, 570, 472, 735 quickly. Get the easiest ways to solve the greatest common divisor of 829, 570, 472, 735 i.e 1 in different methods as follows.
Given Input numbers are 829, 570, 472, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (829, 570, 472, 735) = 1.
Given numbers are 829, 570, 472, 735
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 829, 570, 472, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 570) = 472530
GCD(829, 570) = ( 829 x 570 ) / 472530
= 829 / 570
= 829
Step2:
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
= 1 / 472
= 1
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 829, 570, 472, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 829, 570, 472, 735
The greatest common divisor of numbers 829, 570, 472, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 570, 472, 735 is 1.
1. What is the GCD of 829, 570, 472, 735?
GCD of given numbers 829, 570, 472, 735 is 1
2. How to calculate the greatest common divisor of 829, 570, 472, 735?
We can find the highest common divisor of 829, 570, 472, 735 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 829, 570, 472, 735 i.e 1.
3. How can I use the GCD of 829, 570, 472, 735Calculator?
Out the numbers 829, 570, 472, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.