Online GCD Calculator is useful to find the GCD of 501, 120, 741 quickly. Get the easiest ways to solve the greatest common divisor of 501, 120, 741 i.e 3 in different methods as follows.
Given Input numbers are 501, 120, 741
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
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 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
GCD of numbers is the greatest common divisor
So, the GCD (501, 120, 741) = 3.
Given numbers are 501, 120, 741
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 741 are 3 x 13 x 19
The highest common occurrence is 31
Therefore, GCD of 501, 120, 741 is 3.
Given numbers are 501, 120, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 120) = 20040
GCD(501, 120) = ( 501 x 120 ) / 20040
= 501 / 120
= 501
Step2:
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
= 3 / 741
= 3
So, Greatest Common Divisor of 501, 120, 741 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 120, 741
The greatest common divisor of numbers 501, 120, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 120, 741 is 3.
1. What is the GCD of 501, 120, 741?
GCD of given numbers 501, 120, 741 is 3
2. How to calculate the greatest common divisor of 501, 120, 741?
We can find the highest common divisor of 501, 120, 741 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 501, 120, 741 i.e 3.
3. How can I use the GCD of 501, 120, 741Calculator?
Out the numbers 501, 120, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.