Online GCD Calculator is useful to find the GCD of 168, 532, 24, 252 quickly. Get the easiest ways to solve the greatest common divisor of 168, 532, 24, 252 i.e 4 in different methods as follows.
Given Input numbers are 168, 532, 24, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
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 (168, 532, 24, 252) = 4.
Given numbers are 168, 532, 24, 252
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 168, 532, 24, 252 is 4.
Given numbers are 168, 532, 24, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 532) = 3192
GCD(168, 532) = ( 168 x 532 ) / 3192
= 168 / 532
= 168
Step2:
LCM(28, 24) = 168
GCD(28, 24) = ( 28 x 24 ) / 168
= 28 / 24
= 28
Step3:
LCM(4, 252) = 252
GCD(4, 252) = ( 4 x 252 ) / 252
= 4 / 252
= 4
So, Greatest Common Divisor of 168, 532, 24, 252 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 532, 24, 252
The greatest common divisor of numbers 168, 532, 24, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 532, 24, 252 is 4.
1. What is the GCD of 168, 532, 24, 252?
GCD of given numbers 168, 532, 24, 252 is 4
2. How to calculate the greatest common divisor of 168, 532, 24, 252?
We can find the highest common divisor of 168, 532, 24, 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 168, 532, 24, 252 i.e 4.
3. How can I use the GCD of 168, 532, 24, 252Calculator?
Out the numbers 168, 532, 24, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.