Online GCD Calculator is useful to find the GCD of 638, 800, 736, 898 quickly. Get the easiest ways to solve the greatest common divisor of 638, 800, 736, 898 i.e 2 in different methods as follows.
Given Input numbers are 638, 800, 736, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
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 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (638, 800, 736, 898) = 2.
Given numbers are 638, 800, 736, 898
The list of prime factors of all numbers are
Prime factors of 638 are 2 x 11 x 29
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 898 are 2 x 449
The highest common occurrence is 21
Therefore, GCD of 638, 800, 736, 898 is 2.
Given numbers are 638, 800, 736, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(638, 800) = 255200
GCD(638, 800) = ( 638 x 800 ) / 255200
= 638 / 800
= 638
Step2:
LCM(2, 736) = 736
GCD(2, 736) = ( 2 x 736 ) / 736
= 2 / 736
= 2
Step3:
LCM(2, 898) = 898
GCD(2, 898) = ( 2 x 898 ) / 898
= 2 / 898
= 2
So, Greatest Common Divisor of 638, 800, 736, 898 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 638, 800, 736, 898
The greatest common divisor of numbers 638, 800, 736, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 800, 736, 898 is 2.
1. What is the GCD of 638, 800, 736, 898?
GCD of given numbers 638, 800, 736, 898 is 2
2. How to calculate the greatest common divisor of 638, 800, 736, 898?
We can find the highest common divisor of 638, 800, 736, 898 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 638, 800, 736, 898 i.e 2.
3. How can I use the GCD of 638, 800, 736, 898Calculator?
Out the numbers 638, 800, 736, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.