Online GCD Calculator is useful to find the GCD of 292, 272, 252 quickly. Get the easiest ways to solve the greatest common divisor of 292, 272, 252 i.e 4 in different methods as follows.
Given Input numbers are 292, 272, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
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 (292, 272, 252) = 4.
Given numbers are 292, 272, 252
The list of prime factors of all numbers are
Prime factors of 292 are 2 x 2 x 73
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 292, 272, 252 is 4.
Given numbers are 292, 272, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(292, 272) = 19856
GCD(292, 272) = ( 292 x 272 ) / 19856
= 292 / 272
= 292
Step2:
LCM(4, 252) = 252
GCD(4, 252) = ( 4 x 252 ) / 252
= 4 / 252
= 4
So, Greatest Common Divisor of 292, 272, 252 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 292, 272, 252
The greatest common divisor of numbers 292, 272, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 292, 272, 252 is 4.
1. What is the GCD of 292, 272, 252?
GCD of given numbers 292, 272, 252 is 4
2. How to calculate the greatest common divisor of 292, 272, 252?
We can find the highest common divisor of 292, 272, 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 292, 272, 252 i.e 4.
3. How can I use the GCD of 292, 272, 252Calculator?
Out the numbers 292, 272, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.