Online GCD Calculator is useful to find the GCD of 536, 224, 524, 448 quickly. Get the easiest ways to solve the greatest common divisor of 536, 224, 524, 448 i.e 4 in different methods as follows.
Given Input numbers are 536, 224, 524, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
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 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (536, 224, 524, 448) = 4.
Given numbers are 536, 224, 524, 448
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 524 are 2 x 2 x 131
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 536, 224, 524, 448 is 4.
Given numbers are 536, 224, 524, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 224) = 15008
GCD(536, 224) = ( 536 x 224 ) / 15008
= 536 / 224
= 536
Step2:
LCM(8, 524) = 1048
GCD(8, 524) = ( 8 x 524 ) / 1048
= 8 / 524
= 8
Step3:
LCM(4, 448) = 448
GCD(4, 448) = ( 4 x 448 ) / 448
= 4 / 448
= 4
So, Greatest Common Divisor of 536, 224, 524, 448 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 224, 524, 448
The greatest common divisor of numbers 536, 224, 524, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 224, 524, 448 is 4.
1. What is the GCD of 536, 224, 524, 448?
GCD of given numbers 536, 224, 524, 448 is 4
2. How to calculate the greatest common divisor of 536, 224, 524, 448?
We can find the highest common divisor of 536, 224, 524, 448 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 536, 224, 524, 448 i.e 4.
3. How can I use the GCD of 536, 224, 524, 448Calculator?
Out the numbers 536, 224, 524, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.