Online GCD Calculator is useful to find the GCD of 952, 224, 252 quickly. Get the easiest ways to solve the greatest common divisor of 952, 224, 252 i.e 28 in different methods as follows.
Given Input numbers are 952, 224, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
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 (952, 224, 252) = 28.
Given numbers are 952, 224, 252
The list of prime factors of all numbers are
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 22 x 71
Therefore, GCD of 952, 224, 252 is 28.
Given numbers are 952, 224, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(952, 224) = 3808
GCD(952, 224) = ( 952 x 224 ) / 3808
= 952 / 224
= 952
Step2:
LCM(56, 252) = 504
GCD(56, 252) = ( 56 x 252 ) / 504
= 56 / 252
= 56
So, Greatest Common Divisor of 952, 224, 252 is 28
Here are some samples of GCD of Numbers calculations.
Given numbers are 952, 224, 252
The greatest common divisor of numbers 952, 224, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 224, 252 is 28.
1. What is the GCD of 952, 224, 252?
GCD of given numbers 952, 224, 252 is 28
2. How to calculate the greatest common divisor of 952, 224, 252?
We can find the highest common divisor of 952, 224, 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 952, 224, 252 i.e 28.
3. How can I use the GCD of 952, 224, 252Calculator?
Out the numbers 952, 224, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.