Online GCD Calculator is useful to find the GCD of 549, 238, 423, 840 quickly. Get the easiest ways to solve the greatest common divisor of 549, 238, 423, 840 i.e 1 in different methods as follows.
Given Input numbers are 549, 238, 423, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
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 (549, 238, 423, 840) = 1.
Given numbers are 549, 238, 423, 840
The list of prime factors of all numbers are
Prime factors of 549 are 3 x 3 x 61
Prime factors of 238 are 2 x 7 x 17
Prime factors of 423 are 3 x 3 x 47
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 549, 238, 423, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(549, 238) = 130662
GCD(549, 238) = ( 549 x 238 ) / 130662
= 549 / 238
= 549
Step2:
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
= 1 / 423
= 1
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 549, 238, 423, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 549, 238, 423, 840
The greatest common divisor of numbers 549, 238, 423, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 549, 238, 423, 840 is 1.
1. What is the GCD of 549, 238, 423, 840?
GCD of given numbers 549, 238, 423, 840 is 1
2. How to calculate the greatest common divisor of 549, 238, 423, 840?
We can find the highest common divisor of 549, 238, 423, 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 549, 238, 423, 840 i.e 1.
3. How can I use the GCD of 549, 238, 423, 840Calculator?
Out the numbers 549, 238, 423, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.