Online GCD Calculator is useful to find the GCD of 321, 338, 435, 693 quickly. Get the easiest ways to solve the greatest common divisor of 321, 338, 435, 693 i.e 1 in different methods as follows.
Given Input numbers are 321, 338, 435, 693
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
GCD of numbers is the greatest common divisor
So, the GCD (321, 338, 435, 693) = 1.
Given numbers are 321, 338, 435, 693
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 338 are 2 x 13 x 13
Prime factors of 435 are 3 x 5 x 29
Prime factors of 693 are 3 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 321, 338, 435, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 338) = 108498
GCD(321, 338) = ( 321 x 338 ) / 108498
= 321 / 338
= 321
Step2:
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
= 1 / 435
= 1
Step3:
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
= 1 / 693
= 1
So, Greatest Common Divisor of 321, 338, 435, 693 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 338, 435, 693
The greatest common divisor of numbers 321, 338, 435, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 338, 435, 693 is 1.
1. What is the GCD of 321, 338, 435, 693?
GCD of given numbers 321, 338, 435, 693 is 1
2. How to calculate the greatest common divisor of 321, 338, 435, 693?
We can find the highest common divisor of 321, 338, 435, 693 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 321, 338, 435, 693 i.e 1.
3. How can I use the GCD of 321, 338, 435, 693Calculator?
Out the numbers 321, 338, 435, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.