Online GCD Calculator is useful to find the GCD of 329, 449, 693, 840 quickly. Get the easiest ways to solve the greatest common divisor of 329, 449, 693, 840 i.e 1 in different methods as follows.
Given Input numbers are 329, 449, 693, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
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
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (329, 449, 693, 840) = 1.
Given numbers are 329, 449, 693, 840
The list of prime factors of all numbers are
Prime factors of 329 are 7 x 47
Prime factors of 449 are 449
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 329, 449, 693, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(329, 449) = 147721
GCD(329, 449) = ( 329 x 449 ) / 147721
= 329 / 449
= 329
Step2:
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
= 1 / 693
= 1
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 329, 449, 693, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 329, 449, 693, 840
The greatest common divisor of numbers 329, 449, 693, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 449, 693, 840 is 1.
1. What is the GCD of 329, 449, 693, 840?
GCD of given numbers 329, 449, 693, 840 is 1
2. How to calculate the greatest common divisor of 329, 449, 693, 840?
We can find the highest common divisor of 329, 449, 693, 840 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 329, 449, 693, 840 i.e 1.
3. How can I use the GCD of 329, 449, 693, 840Calculator?
Out the numbers 329, 449, 693, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.