Online GCD Calculator is useful to find the GCD of 370, 800, 630, 484 quickly. Get the easiest ways to solve the greatest common divisor of 370, 800, 630, 484 i.e 2 in different methods as follows.
Given Input numbers are 370, 800, 630, 484
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (370, 800, 630, 484) = 2.
Given numbers are 370, 800, 630, 484
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 484 are 2 x 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 370, 800, 630, 484 is 2.
Given numbers are 370, 800, 630, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 800) = 29600
GCD(370, 800) = ( 370 x 800 ) / 29600
= 370 / 800
= 370
Step2:
LCM(10, 630) = 630
GCD(10, 630) = ( 10 x 630 ) / 630
= 10 / 630
= 10
Step3:
LCM(10, 484) = 2420
GCD(10, 484) = ( 10 x 484 ) / 2420
= 10 / 484
= 10
So, Greatest Common Divisor of 370, 800, 630, 484 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 800, 630, 484
The greatest common divisor of numbers 370, 800, 630, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 800, 630, 484 is 2.
1. What is the GCD of 370, 800, 630, 484?
GCD of given numbers 370, 800, 630, 484 is 2
2. How to calculate the greatest common divisor of 370, 800, 630, 484?
We can find the highest common divisor of 370, 800, 630, 484 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 370, 800, 630, 484 i.e 2.
3. How can I use the GCD of 370, 800, 630, 484Calculator?
Out the numbers 370, 800, 630, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.