Online GCD Calculator is useful to find the GCD of 468, 252, 694, 126 quickly. Get the easiest ways to solve the greatest common divisor of 468, 252, 694, 126 i.e 2 in different methods as follows.
Given Input numbers are 468, 252, 694, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (468, 252, 694, 126) = 2.
Given numbers are 468, 252, 694, 126
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 694 are 2 x 347
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 468, 252, 694, 126 is 2.
Given numbers are 468, 252, 694, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 252) = 3276
GCD(468, 252) = ( 468 x 252 ) / 3276
= 468 / 252
= 468
Step2:
LCM(36, 694) = 12492
GCD(36, 694) = ( 36 x 694 ) / 12492
= 36 / 694
= 36
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 468, 252, 694, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 252, 694, 126
The greatest common divisor of numbers 468, 252, 694, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 252, 694, 126 is 2.
1. What is the GCD of 468, 252, 694, 126?
GCD of given numbers 468, 252, 694, 126 is 2
2. How to calculate the greatest common divisor of 468, 252, 694, 126?
We can find the highest common divisor of 468, 252, 694, 126 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 468, 252, 694, 126 i.e 2.
3. How can I use the GCD of 468, 252, 694, 126Calculator?
Out the numbers 468, 252, 694, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.