Online GCD Calculator is useful to find the GCD of 542, 938, 420, 583 quickly. Get the easiest ways to solve the greatest common divisor of 542, 938, 420, 583 i.e 1 in different methods as follows.
Given Input numbers are 542, 938, 420, 583
In the factoring method, we have to find the divisors of all numbers
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
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 583 :
The positive integer divisors of 583 that completely divides 583 are.
1, 11, 53, 583
GCD of numbers is the greatest common divisor
So, the GCD (542, 938, 420, 583) = 1.
Given numbers are 542, 938, 420, 583
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 938 are 2 x 7 x 67
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 583 are 11 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 542, 938, 420, 583
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 938) = 254198
GCD(542, 938) = ( 542 x 938 ) / 254198
= 542 / 938
= 542
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 583) = 1166
GCD(2, 583) = ( 2 x 583 ) / 1166
= 2 / 583
= 2
So, Greatest Common Divisor of 542, 938, 420, 583 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 938, 420, 583
The greatest common divisor of numbers 542, 938, 420, 583 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 938, 420, 583 is 1.
1. What is the GCD of 542, 938, 420, 583?
GCD of given numbers 542, 938, 420, 583 is 1
2. How to calculate the greatest common divisor of 542, 938, 420, 583?
We can find the highest common divisor of 542, 938, 420, 583 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 542, 938, 420, 583 i.e 1.
3. How can I use the GCD of 542, 938, 420, 583Calculator?
Out the numbers 542, 938, 420, 583 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.