Online GCD Calculator is useful to find the GCD of 746, 136, 131, 614 quickly. Get the easiest ways to solve the greatest common divisor of 746, 136, 131, 614 i.e 1 in different methods as follows.
Given Input numbers are 746, 136, 131, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (746, 136, 131, 614) = 1.
Given numbers are 746, 136, 131, 614
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 131 are 131
Prime factors of 614 are 2 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 746, 136, 131, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 136) = 50728
GCD(746, 136) = ( 746 x 136 ) / 50728
= 746 / 136
= 746
Step2:
LCM(2, 131) = 262
GCD(2, 131) = ( 2 x 131 ) / 262
= 2 / 131
= 2
Step3:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
So, Greatest Common Divisor of 746, 136, 131, 614 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 136, 131, 614
The greatest common divisor of numbers 746, 136, 131, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 136, 131, 614 is 1.
1. What is the GCD of 746, 136, 131, 614?
GCD of given numbers 746, 136, 131, 614 is 1
2. How to calculate the greatest common divisor of 746, 136, 131, 614?
We can find the highest common divisor of 746, 136, 131, 614 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 746, 136, 131, 614 i.e 1.
3. How can I use the GCD of 746, 136, 131, 614Calculator?
Out the numbers 746, 136, 131, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.