Online GCD Calculator is useful to find the GCD of 120, 577, 896, 914 quickly. Get the easiest ways to solve the greatest common divisor of 120, 577, 896, 914 i.e 1 in different methods as follows.
Given Input numbers are 120, 577, 896, 914
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 577 :
The positive integer divisors of 577 that completely divides 577 are.
1, 577
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 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
GCD of numbers is the greatest common divisor
So, the GCD (120, 577, 896, 914) = 1.
Given numbers are 120, 577, 896, 914
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 577 are 577
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 914 are 2 x 457
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 577, 896, 914
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 577) = 69240
GCD(120, 577) = ( 120 x 577 ) / 69240
= 120 / 577
= 120
Step2:
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
= 1 / 896
= 1
Step3:
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
= 1 / 914
= 1
So, Greatest Common Divisor of 120, 577, 896, 914 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 577, 896, 914
The greatest common divisor of numbers 120, 577, 896, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 577, 896, 914 is 1.
1. What is the GCD of 120, 577, 896, 914?
GCD of given numbers 120, 577, 896, 914 is 1
2. How to calculate the greatest common divisor of 120, 577, 896, 914?
We can find the highest common divisor of 120, 577, 896, 914 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 120, 577, 896, 914 i.e 1.
3. How can I use the GCD of 120, 577, 896, 914Calculator?
Out the numbers 120, 577, 896, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.