Online GCD Calculator is useful to find the GCD of 683, 538, 420, 924 quickly. Get the easiest ways to solve the greatest common divisor of 683, 538, 420, 924 i.e 1 in different methods as follows.
Given Input numbers are 683, 538, 420, 924
In the factoring method, we have to find the divisors of all numbers
Divisors of 683 :
The positive integer divisors of 683 that completely divides 683 are.
1, 683
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (683, 538, 420, 924) = 1.
Given numbers are 683, 538, 420, 924
The list of prime factors of all numbers are
Prime factors of 683 are 683
Prime factors of 538 are 2 x 269
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 683, 538, 420, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(683, 538) = 367454
GCD(683, 538) = ( 683 x 538 ) / 367454
= 683 / 538
= 683
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
= 1 / 924
= 1
So, Greatest Common Divisor of 683, 538, 420, 924 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 683, 538, 420, 924
The greatest common divisor of numbers 683, 538, 420, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 683, 538, 420, 924 is 1.
1. What is the GCD of 683, 538, 420, 924?
GCD of given numbers 683, 538, 420, 924 is 1
2. How to calculate the greatest common divisor of 683, 538, 420, 924?
We can find the highest common divisor of 683, 538, 420, 924 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 683, 538, 420, 924 i.e 1.
3. How can I use the GCD of 683, 538, 420, 924Calculator?
Out the numbers 683, 538, 420, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.