Online GCD Calculator is useful to find the GCD of 722, 505, 692, 432 quickly. Get the easiest ways to solve the greatest common divisor of 722, 505, 692, 432 i.e 1 in different methods as follows.
Given Input numbers are 722, 505, 692, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (722, 505, 692, 432) = 1.
Given numbers are 722, 505, 692, 432
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 505 are 5 x 101
Prime factors of 692 are 2 x 2 x 173
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 722, 505, 692, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 505) = 364610
GCD(722, 505) = ( 722 x 505 ) / 364610
= 722 / 505
= 722
Step2:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
Step3:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
So, Greatest Common Divisor of 722, 505, 692, 432 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 505, 692, 432
The greatest common divisor of numbers 722, 505, 692, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 505, 692, 432 is 1.
1. What is the GCD of 722, 505, 692, 432?
GCD of given numbers 722, 505, 692, 432 is 1
2. How to calculate the greatest common divisor of 722, 505, 692, 432?
We can find the highest common divisor of 722, 505, 692, 432 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 722, 505, 692, 432 i.e 1.
3. How can I use the GCD of 722, 505, 692, 432Calculator?
Out the numbers 722, 505, 692, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.