Online GCD Calculator is useful to find the GCD of 918, 379, 900, 959 quickly. Get the easiest ways to solve the greatest common divisor of 918, 379, 900, 959 i.e 1 in different methods as follows.
Given Input numbers are 918, 379, 900, 959
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 379 :
The positive integer divisors of 379 that completely divides 379 are.
1, 379
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 959 :
The positive integer divisors of 959 that completely divides 959 are.
1, 7, 137, 959
GCD of numbers is the greatest common divisor
So, the GCD (918, 379, 900, 959) = 1.
Given numbers are 918, 379, 900, 959
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 379 are 379
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 959 are 7 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 918, 379, 900, 959
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 379) = 347922
GCD(918, 379) = ( 918 x 379 ) / 347922
= 918 / 379
= 918
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
Step3:
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
= 1 / 959
= 1
So, Greatest Common Divisor of 918, 379, 900, 959 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 379, 900, 959
The greatest common divisor of numbers 918, 379, 900, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 379, 900, 959 is 1.
1. What is the GCD of 918, 379, 900, 959?
GCD of given numbers 918, 379, 900, 959 is 1
2. How to calculate the greatest common divisor of 918, 379, 900, 959?
We can find the highest common divisor of 918, 379, 900, 959 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 918, 379, 900, 959 i.e 1.
3. How can I use the GCD of 918, 379, 900, 959Calculator?
Out the numbers 918, 379, 900, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.