Online GCD Calculator is useful to find the GCD of 244, 738, 742, 800 quickly. Get the easiest ways to solve the greatest common divisor of 244, 738, 742, 800 i.e 2 in different methods as follows.
Given Input numbers are 244, 738, 742, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 244 :
The positive integer divisors of 244 that completely divides 244 are.
1, 2, 4, 61, 122, 244
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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
GCD of numbers is the greatest common divisor
So, the GCD (244, 738, 742, 800) = 2.
Given numbers are 244, 738, 742, 800
The list of prime factors of all numbers are
Prime factors of 244 are 2 x 2 x 61
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 742 are 2 x 7 x 53
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 244, 738, 742, 800 is 2.
Given numbers are 244, 738, 742, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(244, 738) = 90036
GCD(244, 738) = ( 244 x 738 ) / 90036
= 244 / 738
= 244
Step2:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
Step3:
LCM(2, 800) = 800
GCD(2, 800) = ( 2 x 800 ) / 800
= 2 / 800
= 2
So, Greatest Common Divisor of 244, 738, 742, 800 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 244, 738, 742, 800
The greatest common divisor of numbers 244, 738, 742, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 244, 738, 742, 800 is 2.
1. What is the GCD of 244, 738, 742, 800?
GCD of given numbers 244, 738, 742, 800 is 2
2. How to calculate the greatest common divisor of 244, 738, 742, 800?
We can find the highest common divisor of 244, 738, 742, 800 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 244, 738, 742, 800 i.e 2.
3. How can I use the GCD of 244, 738, 742, 800Calculator?
Out the numbers 244, 738, 742, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.