Online GCD Calculator is useful to find the GCD of 900, 390, 772, 874 quickly. Get the easiest ways to solve the greatest common divisor of 900, 390, 772, 874 i.e 2 in different methods as follows.
Given Input numbers are 900, 390, 772, 874
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (900, 390, 772, 874) = 2.
Given numbers are 900, 390, 772, 874
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 390 are 2 x 3 x 5 x 13
Prime factors of 772 are 2 x 2 x 193
Prime factors of 874 are 2 x 19 x 23
The highest common occurrence is 21
Therefore, GCD of 900, 390, 772, 874 is 2.
Given numbers are 900, 390, 772, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 390) = 11700
GCD(900, 390) = ( 900 x 390 ) / 11700
= 900 / 390
= 900
Step2:
LCM(30, 772) = 11580
GCD(30, 772) = ( 30 x 772 ) / 11580
= 30 / 772
= 30
Step3:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
So, Greatest Common Divisor of 900, 390, 772, 874 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 390, 772, 874
The greatest common divisor of numbers 900, 390, 772, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 390, 772, 874 is 2.
1. What is the GCD of 900, 390, 772, 874?
GCD of given numbers 900, 390, 772, 874 is 2
2. How to calculate the greatest common divisor of 900, 390, 772, 874?
We can find the highest common divisor of 900, 390, 772, 874 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, 390, 772, 874 i.e 2.
3. How can I use the GCD of 900, 390, 772, 874Calculator?
Out the numbers 900, 390, 772, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.