Online GCD Calculator is useful to find the GCD of 224, 656, 532, 672 quickly. Get the easiest ways to solve the greatest common divisor of 224, 656, 532, 672 i.e 4 in different methods as follows.
Given Input numbers are 224, 656, 532, 672
In the factoring method, we have to find the divisors of all numbers
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 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
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 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (224, 656, 532, 672) = 4.
Given numbers are 224, 656, 532, 672
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 224, 656, 532, 672 is 4.
Given numbers are 224, 656, 532, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 656) = 9184
GCD(224, 656) = ( 224 x 656 ) / 9184
= 224 / 656
= 224
Step2:
LCM(16, 532) = 2128
GCD(16, 532) = ( 16 x 532 ) / 2128
= 16 / 532
= 16
Step3:
LCM(4, 672) = 672
GCD(4, 672) = ( 4 x 672 ) / 672
= 4 / 672
= 4
So, Greatest Common Divisor of 224, 656, 532, 672 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 656, 532, 672
The greatest common divisor of numbers 224, 656, 532, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 656, 532, 672 is 4.
1. What is the GCD of 224, 656, 532, 672?
GCD of given numbers 224, 656, 532, 672 is 4
2. How to calculate the greatest common divisor of 224, 656, 532, 672?
We can find the highest common divisor of 224, 656, 532, 672 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 224, 656, 532, 672 i.e 4.
3. How can I use the GCD of 224, 656, 532, 672Calculator?
Out the numbers 224, 656, 532, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.