Online GCD Calculator is useful to find the GCD of 438, 224, 972, 560 quickly. Get the easiest ways to solve the greatest common divisor of 438, 224, 972, 560 i.e 2 in different methods as follows.
Given Input numbers are 438, 224, 972, 560
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
GCD of numbers is the greatest common divisor
So, the GCD (438, 224, 972, 560) = 2.
Given numbers are 438, 224, 972, 560
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 438, 224, 972, 560 is 2.
Given numbers are 438, 224, 972, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 224) = 49056
GCD(438, 224) = ( 438 x 224 ) / 49056
= 438 / 224
= 438
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 560) = 560
GCD(2, 560) = ( 2 x 560 ) / 560
= 2 / 560
= 2
So, Greatest Common Divisor of 438, 224, 972, 560 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 224, 972, 560
The greatest common divisor of numbers 438, 224, 972, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 224, 972, 560 is 2.
1. What is the GCD of 438, 224, 972, 560?
GCD of given numbers 438, 224, 972, 560 is 2
2. How to calculate the greatest common divisor of 438, 224, 972, 560?
We can find the highest common divisor of 438, 224, 972, 560 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 438, 224, 972, 560 i.e 2.
3. How can I use the GCD of 438, 224, 972, 560Calculator?
Out the numbers 438, 224, 972, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.