Online GCD Calculator is useful to find the GCD of 900, 998, 840, 472 quickly. Get the easiest ways to solve the greatest common divisor of 900, 998, 840, 472 i.e 2 in different methods as follows.
Given Input numbers are 900, 998, 840, 472
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 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (900, 998, 840, 472) = 2.
Given numbers are 900, 998, 840, 472
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 998 are 2 x 499
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 900, 998, 840, 472 is 2.
Given numbers are 900, 998, 840, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 998) = 449100
GCD(900, 998) = ( 900 x 998 ) / 449100
= 900 / 998
= 900
Step2:
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
= 2 / 840
= 2
Step3:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
So, Greatest Common Divisor of 900, 998, 840, 472 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 998, 840, 472
The greatest common divisor of numbers 900, 998, 840, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 998, 840, 472 is 2.
1. What is the GCD of 900, 998, 840, 472?
GCD of given numbers 900, 998, 840, 472 is 2
2. How to calculate the greatest common divisor of 900, 998, 840, 472?
We can find the highest common divisor of 900, 998, 840, 472 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, 998, 840, 472 i.e 2.
3. How can I use the GCD of 900, 998, 840, 472Calculator?
Out the numbers 900, 998, 840, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.