Online GCD Calculator is useful to find the GCD of 896, 748, 629, 470 quickly. Get the easiest ways to solve the greatest common divisor of 896, 748, 629, 470 i.e 1 in different methods as follows.
Given Input numbers are 896, 748, 629, 470
In the factoring method, we have to find the divisors of all numbers
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 629 :
The positive integer divisors of 629 that completely divides 629 are.
1, 17, 37, 629
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (896, 748, 629, 470) = 1.
Given numbers are 896, 748, 629, 470
The list of prime factors of all numbers are
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 629 are 17 x 37
Prime factors of 470 are 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 896, 748, 629, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 748) = 167552
GCD(896, 748) = ( 896 x 748 ) / 167552
= 896 / 748
= 896
Step2:
LCM(4, 629) = 2516
GCD(4, 629) = ( 4 x 629 ) / 2516
= 4 / 629
= 4
Step3:
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
= 1 / 470
= 1
So, Greatest Common Divisor of 896, 748, 629, 470 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 896, 748, 629, 470
The greatest common divisor of numbers 896, 748, 629, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 748, 629, 470 is 1.
1. What is the GCD of 896, 748, 629, 470?
GCD of given numbers 896, 748, 629, 470 is 1
2. How to calculate the greatest common divisor of 896, 748, 629, 470?
We can find the highest common divisor of 896, 748, 629, 470 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 896, 748, 629, 470 i.e 1.
3. How can I use the GCD of 896, 748, 629, 470Calculator?
Out the numbers 896, 748, 629, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.