Online GCD Calculator is useful to find the GCD of 501, 849, 474, 252 quickly. Get the easiest ways to solve the greatest common divisor of 501, 849, 474, 252 i.e 3 in different methods as follows.
Given Input numbers are 501, 849, 474, 252
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 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (501, 849, 474, 252) = 3.
Given numbers are 501, 849, 474, 252
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 849 are 3 x 283
Prime factors of 474 are 2 x 3 x 79
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 501, 849, 474, 252 is 3.
Given numbers are 501, 849, 474, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 849) = 141783
GCD(501, 849) = ( 501 x 849 ) / 141783
= 501 / 849
= 501
Step2:
LCM(3, 474) = 474
GCD(3, 474) = ( 3 x 474 ) / 474
= 3 / 474
= 3
Step3:
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
= 3 / 252
= 3
So, Greatest Common Divisor of 501, 849, 474, 252 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 849, 474, 252
The greatest common divisor of numbers 501, 849, 474, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 849, 474, 252 is 3.
1. What is the GCD of 501, 849, 474, 252?
GCD of given numbers 501, 849, 474, 252 is 3
2. How to calculate the greatest common divisor of 501, 849, 474, 252?
We can find the highest common divisor of 501, 849, 474, 252 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, 849, 474, 252 i.e 3.
3. How can I use the GCD of 501, 849, 474, 252Calculator?
Out the numbers 501, 849, 474, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.