Online GCD Calculator is useful to find the GCD of 456, 144, 896, 731 quickly. Get the easiest ways to solve the greatest common divisor of 456, 144, 896, 731 i.e 1 in different methods as follows.
Given Input numbers are 456, 144, 896, 731
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (456, 144, 896, 731) = 1.
Given numbers are 456, 144, 896, 731
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 456, 144, 896, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 144) = 2736
GCD(456, 144) = ( 456 x 144 ) / 2736
= 456 / 144
= 456
Step2:
LCM(24, 896) = 2688
GCD(24, 896) = ( 24 x 896 ) / 2688
= 24 / 896
= 24
Step3:
LCM(8, 731) = 5848
GCD(8, 731) = ( 8 x 731 ) / 5848
= 8 / 731
= 8
So, Greatest Common Divisor of 456, 144, 896, 731 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 144, 896, 731
The greatest common divisor of numbers 456, 144, 896, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 144, 896, 731 is 1.
1. What is the GCD of 456, 144, 896, 731?
GCD of given numbers 456, 144, 896, 731 is 1
2. How to calculate the greatest common divisor of 456, 144, 896, 731?
We can find the highest common divisor of 456, 144, 896, 731 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 456, 144, 896, 731 i.e 1.
3. How can I use the GCD of 456, 144, 896, 731Calculator?
Out the numbers 456, 144, 896, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.