Online GCD Calculator is useful to find the GCD of 144, 746, 251, 612 quickly. Get the easiest ways to solve the greatest common divisor of 144, 746, 251, 612 i.e 1 in different methods as follows.
Given Input numbers are 144, 746, 251, 612
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 251 :
The positive integer divisors of 251 that completely divides 251 are.
1, 251
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (144, 746, 251, 612) = 1.
Given numbers are 144, 746, 251, 612
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 746 are 2 x 373
Prime factors of 251 are 251
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 746, 251, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 746) = 53712
GCD(144, 746) = ( 144 x 746 ) / 53712
= 144 / 746
= 144
Step2:
LCM(2, 251) = 502
GCD(2, 251) = ( 2 x 251 ) / 502
= 2 / 251
= 2
Step3:
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
= 1 / 612
= 1
So, Greatest Common Divisor of 144, 746, 251, 612 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 746, 251, 612
The greatest common divisor of numbers 144, 746, 251, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 746, 251, 612 is 1.
1. What is the GCD of 144, 746, 251, 612?
GCD of given numbers 144, 746, 251, 612 is 1
2. How to calculate the greatest common divisor of 144, 746, 251, 612?
We can find the highest common divisor of 144, 746, 251, 612 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 144, 746, 251, 612 i.e 1.
3. How can I use the GCD of 144, 746, 251, 612Calculator?
Out the numbers 144, 746, 251, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.