Online GCD Calculator is useful to find the GCD of 202, 900, 868, 180 quickly. Get the easiest ways to solve the greatest common divisor of 202, 900, 868, 180 i.e 2 in different methods as follows.
Given Input numbers are 202, 900, 868, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
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 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (202, 900, 868, 180) = 2.
Given numbers are 202, 900, 868, 180
The list of prime factors of all numbers are
Prime factors of 202 are 2 x 101
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 202, 900, 868, 180 is 2.
Given numbers are 202, 900, 868, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(202, 900) = 90900
GCD(202, 900) = ( 202 x 900 ) / 90900
= 202 / 900
= 202
Step2:
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
= 2 / 868
= 2
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 202, 900, 868, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 202, 900, 868, 180
The greatest common divisor of numbers 202, 900, 868, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 900, 868, 180 is 2.
1. What is the GCD of 202, 900, 868, 180?
GCD of given numbers 202, 900, 868, 180 is 2
2. How to calculate the greatest common divisor of 202, 900, 868, 180?
We can find the highest common divisor of 202, 900, 868, 180 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 202, 900, 868, 180 i.e 2.
3. How can I use the GCD of 202, 900, 868, 180Calculator?
Out the numbers 202, 900, 868, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.