Online GCD Calculator is useful to find the GCD of 900, 909, 121, 698 quickly. Get the easiest ways to solve the greatest common divisor of 900, 909, 121, 698 i.e 1 in different methods as follows.
Given Input numbers are 900, 909, 121, 698
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 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (900, 909, 121, 698) = 1.
Given numbers are 900, 909, 121, 698
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 909 are 3 x 3 x 101
Prime factors of 121 are 11 x 11
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 909, 121, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 909) = 90900
GCD(900, 909) = ( 900 x 909 ) / 90900
= 900 / 909
= 900
Step2:
LCM(9, 121) = 1089
GCD(9, 121) = ( 9 x 121 ) / 1089
= 9 / 121
= 9
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 900, 909, 121, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 909, 121, 698
The greatest common divisor of numbers 900, 909, 121, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 909, 121, 698 is 1.
1. What is the GCD of 900, 909, 121, 698?
GCD of given numbers 900, 909, 121, 698 is 1
2. How to calculate the greatest common divisor of 900, 909, 121, 698?
We can find the highest common divisor of 900, 909, 121, 698 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, 909, 121, 698 i.e 1.
3. How can I use the GCD of 900, 909, 121, 698Calculator?
Out the numbers 900, 909, 121, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.