Online GCD Calculator is useful to find the GCD of 542, 148, 614, 689 quickly. Get the easiest ways to solve the greatest common divisor of 542, 148, 614, 689 i.e 1 in different methods as follows.
Given Input numbers are 542, 148, 614, 689
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 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (542, 148, 614, 689) = 1.
Given numbers are 542, 148, 614, 689
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 148 are 2 x 2 x 37
Prime factors of 614 are 2 x 307
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 542, 148, 614, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 148) = 40108
GCD(542, 148) = ( 542 x 148 ) / 40108
= 542 / 148
= 542
Step2:
LCM(2, 614) = 614
GCD(2, 614) = ( 2 x 614 ) / 614
= 2 / 614
= 2
Step3:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
So, Greatest Common Divisor of 542, 148, 614, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 148, 614, 689
The greatest common divisor of numbers 542, 148, 614, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 148, 614, 689 is 1.
1. What is the GCD of 542, 148, 614, 689?
GCD of given numbers 542, 148, 614, 689 is 1
2. How to calculate the greatest common divisor of 542, 148, 614, 689?
We can find the highest common divisor of 542, 148, 614, 689 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, 148, 614, 689 i.e 1.
3. How can I use the GCD of 542, 148, 614, 689Calculator?
Out the numbers 542, 148, 614, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.