Online GCD Calculator is useful to find the GCD of 252, 294, 182 quickly. Get the easiest ways to solve the greatest common divisor of 252, 294, 182 i.e 14 in different methods as follows.
Given Input numbers are 252, 294, 182
In the factoring method, we have to find the divisors of all numbers
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 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (252, 294, 182) = 14.
Given numbers are 252, 294, 182
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21 x 71
Therefore, GCD of 252, 294, 182 is 14.
Given numbers are 252, 294, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 294) = 1764
GCD(252, 294) = ( 252 x 294 ) / 1764
= 252 / 294
= 252
Step2:
LCM(42, 182) = 546
GCD(42, 182) = ( 42 x 182 ) / 546
= 42 / 182
= 42
So, Greatest Common Divisor of 252, 294, 182 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 294, 182
The greatest common divisor of numbers 252, 294, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 294, 182 is 14.
1. What is the GCD of 252, 294, 182?
GCD of given numbers 252, 294, 182 is 14
2. How to calculate the greatest common divisor of 252, 294, 182?
We can find the highest common divisor of 252, 294, 182 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 252, 294, 182 i.e 14.
3. How can I use the GCD of 252, 294, 182Calculator?
Out the numbers 252, 294, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.