Online GCD Calculator is useful to find the GCD of 630, 100, 804, 400 quickly. Get the easiest ways to solve the greatest common divisor of 630, 100, 804, 400 i.e 2 in different methods as follows.
Given Input numbers are 630, 100, 804, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (630, 100, 804, 400) = 2.
Given numbers are 630, 100, 804, 400
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 630, 100, 804, 400 is 2.
Given numbers are 630, 100, 804, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 100) = 6300
GCD(630, 100) = ( 630 x 100 ) / 6300
= 630 / 100
= 630
Step2:
LCM(10, 804) = 4020
GCD(10, 804) = ( 10 x 804 ) / 4020
= 10 / 804
= 10
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 630, 100, 804, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 100, 804, 400
The greatest common divisor of numbers 630, 100, 804, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 100, 804, 400 is 2.
1. What is the GCD of 630, 100, 804, 400?
GCD of given numbers 630, 100, 804, 400 is 2
2. How to calculate the greatest common divisor of 630, 100, 804, 400?
We can find the highest common divisor of 630, 100, 804, 400 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 630, 100, 804, 400 i.e 2.
3. How can I use the GCD of 630, 100, 804, 400Calculator?
Out the numbers 630, 100, 804, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.