Online GCD Calculator is useful to find the GCD of 900, 118, 397, 916 quickly. Get the easiest ways to solve the greatest common divisor of 900, 118, 397, 916 i.e 1 in different methods as follows.
Given Input numbers are 900, 118, 397, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (900, 118, 397, 916) = 1.
Given numbers are 900, 118, 397, 916
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 118 are 2 x 59
Prime factors of 397 are 397
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 118, 397, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 118) = 53100
GCD(900, 118) = ( 900 x 118 ) / 53100
= 900 / 118
= 900
Step2:
LCM(2, 397) = 794
GCD(2, 397) = ( 2 x 397 ) / 794
= 2 / 397
= 2
Step3:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 900, 118, 397, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 118, 397, 916
The greatest common divisor of numbers 900, 118, 397, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 118, 397, 916 is 1.
1. What is the GCD of 900, 118, 397, 916?
GCD of given numbers 900, 118, 397, 916 is 1
2. How to calculate the greatest common divisor of 900, 118, 397, 916?
We can find the highest common divisor of 900, 118, 397, 916 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 900, 118, 397, 916 i.e 1.
3. How can I use the GCD of 900, 118, 397, 916Calculator?
Out the numbers 900, 118, 397, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.