Online GCD Calculator is useful to find the GCD of 909, 369, 140, 600 quickly. Get the easiest ways to solve the greatest common divisor of 909, 369, 140, 600 i.e 1 in different methods as follows.
Given Input numbers are 909, 369, 140, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (909, 369, 140, 600) = 1.
Given numbers are 909, 369, 140, 600
The list of prime factors of all numbers are
Prime factors of 909 are 3 x 3 x 101
Prime factors of 369 are 3 x 3 x 41
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 909, 369, 140, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(909, 369) = 37269
GCD(909, 369) = ( 909 x 369 ) / 37269
= 909 / 369
= 909
Step2:
LCM(9, 140) = 1260
GCD(9, 140) = ( 9 x 140 ) / 1260
= 9 / 140
= 9
Step3:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
So, Greatest Common Divisor of 909, 369, 140, 600 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 909, 369, 140, 600
The greatest common divisor of numbers 909, 369, 140, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 369, 140, 600 is 1.
1. What is the GCD of 909, 369, 140, 600?
GCD of given numbers 909, 369, 140, 600 is 1
2. How to calculate the greatest common divisor of 909, 369, 140, 600?
We can find the highest common divisor of 909, 369, 140, 600 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 909, 369, 140, 600 i.e 1.
3. How can I use the GCD of 909, 369, 140, 600Calculator?
Out the numbers 909, 369, 140, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.