Online GCD Calculator is useful to find the GCD of 120, 513, 679, 612 quickly. Get the easiest ways to solve the greatest common divisor of 120, 513, 679, 612 i.e 1 in different methods as follows.
Given Input numbers are 120, 513, 679, 612
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 679 :
The positive integer divisors of 679 that completely divides 679 are.
1, 7, 97, 679
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 (120, 513, 679, 612) = 1.
Given numbers are 120, 513, 679, 612
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 679 are 7 x 97
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 120, 513, 679, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 513) = 20520
GCD(120, 513) = ( 120 x 513 ) / 20520
= 120 / 513
= 120
Step2:
LCM(3, 679) = 2037
GCD(3, 679) = ( 3 x 679 ) / 2037
= 3 / 679
= 3
Step3:
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
= 1 / 612
= 1
So, Greatest Common Divisor of 120, 513, 679, 612 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 513, 679, 612
The greatest common divisor of numbers 120, 513, 679, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 513, 679, 612 is 1.
1. What is the GCD of 120, 513, 679, 612?
GCD of given numbers 120, 513, 679, 612 is 1
2. How to calculate the greatest common divisor of 120, 513, 679, 612?
We can find the highest common divisor of 120, 513, 679, 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 120, 513, 679, 612 i.e 1.
3. How can I use the GCD of 120, 513, 679, 612Calculator?
Out the numbers 120, 513, 679, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.