Online GCD Calculator is useful to find the GCD of 900, 218, 292, 364 quickly. Get the easiest ways to solve the greatest common divisor of 900, 218, 292, 364 i.e 2 in different methods as follows.
Given Input numbers are 900, 218, 292, 364
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 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (900, 218, 292, 364) = 2.
Given numbers are 900, 218, 292, 364
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 218 are 2 x 109
Prime factors of 292 are 2 x 2 x 73
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 900, 218, 292, 364 is 2.
Given numbers are 900, 218, 292, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 218) = 98100
GCD(900, 218) = ( 900 x 218 ) / 98100
= 900 / 218
= 900
Step2:
LCM(2, 292) = 292
GCD(2, 292) = ( 2 x 292 ) / 292
= 2 / 292
= 2
Step3:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
So, Greatest Common Divisor of 900, 218, 292, 364 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 218, 292, 364
The greatest common divisor of numbers 900, 218, 292, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 218, 292, 364 is 2.
1. What is the GCD of 900, 218, 292, 364?
GCD of given numbers 900, 218, 292, 364 is 2
2. How to calculate the greatest common divisor of 900, 218, 292, 364?
We can find the highest common divisor of 900, 218, 292, 364 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, 218, 292, 364 i.e 2.
3. How can I use the GCD of 900, 218, 292, 364Calculator?
Out the numbers 900, 218, 292, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.