Online GCD Calculator is useful to find the GCD of 120, 411, 371, 716 quickly. Get the easiest ways to solve the greatest common divisor of 120, 411, 371, 716 i.e 1 in different methods as follows.
Given Input numbers are 120, 411, 371, 716
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 411 :
The positive integer divisors of 411 that completely divides 411 are.
1, 3, 137, 411
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (120, 411, 371, 716) = 1.
Given numbers are 120, 411, 371, 716
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 411 are 3 x 137
Prime factors of 371 are 7 x 53
Prime factors of 716 are 2 x 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 411, 371, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 411) = 16440
GCD(120, 411) = ( 120 x 411 ) / 16440
= 120 / 411
= 120
Step2:
LCM(3, 371) = 1113
GCD(3, 371) = ( 3 x 371 ) / 1113
= 3 / 371
= 3
Step3:
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
= 1 / 716
= 1
So, Greatest Common Divisor of 120, 411, 371, 716 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 411, 371, 716
The greatest common divisor of numbers 120, 411, 371, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 411, 371, 716 is 1.
1. What is the GCD of 120, 411, 371, 716?
GCD of given numbers 120, 411, 371, 716 is 1
2. How to calculate the greatest common divisor of 120, 411, 371, 716?
We can find the highest common divisor of 120, 411, 371, 716 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, 411, 371, 716 i.e 1.
3. How can I use the GCD of 120, 411, 371, 716Calculator?
Out the numbers 120, 411, 371, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.