Online GCD Calculator is useful to find the GCD of 501, 774, 761, 369 quickly. Get the easiest ways to solve the greatest common divisor of 501, 774, 761, 369 i.e 1 in different methods as follows.
Given Input numbers are 501, 774, 761, 369
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 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (501, 774, 761, 369) = 1.
Given numbers are 501, 774, 761, 369
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 761 are 761
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 501, 774, 761, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 774) = 129258
GCD(501, 774) = ( 501 x 774 ) / 129258
= 501 / 774
= 501
Step2:
LCM(3, 761) = 2283
GCD(3, 761) = ( 3 x 761 ) / 2283
= 3 / 761
= 3
Step3:
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
= 1 / 369
= 1
So, Greatest Common Divisor of 501, 774, 761, 369 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 774, 761, 369
The greatest common divisor of numbers 501, 774, 761, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 774, 761, 369 is 1.
1. What is the GCD of 501, 774, 761, 369?
GCD of given numbers 501, 774, 761, 369 is 1
2. How to calculate the greatest common divisor of 501, 774, 761, 369?
We can find the highest common divisor of 501, 774, 761, 369 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, 774, 761, 369 i.e 1.
3. How can I use the GCD of 501, 774, 761, 369Calculator?
Out the numbers 501, 774, 761, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.