Online GCD Calculator is useful to find the GCD of 914, 130, 897, 998 quickly. Get the easiest ways to solve the greatest common divisor of 914, 130, 897, 998 i.e 1 in different methods as follows.
Given Input numbers are 914, 130, 897, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (914, 130, 897, 998) = 1.
Given numbers are 914, 130, 897, 998
The list of prime factors of all numbers are
Prime factors of 914 are 2 x 457
Prime factors of 130 are 2 x 5 x 13
Prime factors of 897 are 3 x 13 x 23
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 914, 130, 897, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(914, 130) = 59410
GCD(914, 130) = ( 914 x 130 ) / 59410
= 914 / 130
= 914
Step2:
LCM(2, 897) = 1794
GCD(2, 897) = ( 2 x 897 ) / 1794
= 2 / 897
= 2
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 914, 130, 897, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 914, 130, 897, 998
The greatest common divisor of numbers 914, 130, 897, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 130, 897, 998 is 1.
1. What is the GCD of 914, 130, 897, 998?
GCD of given numbers 914, 130, 897, 998 is 1
2. How to calculate the greatest common divisor of 914, 130, 897, 998?
We can find the highest common divisor of 914, 130, 897, 998 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 914, 130, 897, 998 i.e 1.
3. How can I use the GCD of 914, 130, 897, 998Calculator?
Out the numbers 914, 130, 897, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.