Online GCD Calculator is useful to find the GCD of 504, 756, 298 quickly. Get the easiest ways to solve the greatest common divisor of 504, 756, 298 i.e 2 in different methods as follows.
Given Input numbers are 504, 756, 298
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (504, 756, 298) = 2.
Given numbers are 504, 756, 298
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 298 are 2 x 149
The highest common occurrence is 21
Therefore, GCD of 504, 756, 298 is 2.
Given numbers are 504, 756, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 756) = 1512
GCD(504, 756) = ( 504 x 756 ) / 1512
= 504 / 756
= 504
Step2:
LCM(252, 298) = 37548
GCD(252, 298) = ( 252 x 298 ) / 37548
= 252 / 298
= 252
So, Greatest Common Divisor of 504, 756, 298 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 756, 298
The greatest common divisor of numbers 504, 756, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 756, 298 is 2.
1. What is the GCD of 504, 756, 298?
GCD of given numbers 504, 756, 298 is 2
2. How to calculate the greatest common divisor of 504, 756, 298?
We can find the highest common divisor of 504, 756, 298 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 504, 756, 298 i.e 2.
3. How can I use the GCD of 504, 756, 298Calculator?
Out the numbers 504, 756, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.