Online GCD Calculator is useful to find the GCD of 472, 298, 802, 444 quickly. Get the easiest ways to solve the greatest common divisor of 472, 298, 802, 444 i.e 2 in different methods as follows.
Given Input numbers are 472, 298, 802, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
GCD of numbers is the greatest common divisor
So, the GCD (472, 298, 802, 444) = 2.
Given numbers are 472, 298, 802, 444
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 298 are 2 x 149
Prime factors of 802 are 2 x 401
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 472, 298, 802, 444 is 2.
Given numbers are 472, 298, 802, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 298) = 70328
GCD(472, 298) = ( 472 x 298 ) / 70328
= 472 / 298
= 472
Step2:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
Step3:
LCM(2, 444) = 444
GCD(2, 444) = ( 2 x 444 ) / 444
= 2 / 444
= 2
So, Greatest Common Divisor of 472, 298, 802, 444 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 298, 802, 444
The greatest common divisor of numbers 472, 298, 802, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 298, 802, 444 is 2.
1. What is the GCD of 472, 298, 802, 444?
GCD of given numbers 472, 298, 802, 444 is 2
2. How to calculate the greatest common divisor of 472, 298, 802, 444?
We can find the highest common divisor of 472, 298, 802, 444 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 472, 298, 802, 444 i.e 2.
3. How can I use the GCD of 472, 298, 802, 444Calculator?
Out the numbers 472, 298, 802, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.