Online GCD Calculator is useful to find the GCD of 998, 294, 380, 448 quickly. Get the easiest ways to solve the greatest common divisor of 998, 294, 380, 448 i.e 2 in different methods as follows.
Given Input numbers are 998, 294, 380, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (998, 294, 380, 448) = 2.
Given numbers are 998, 294, 380, 448
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 998, 294, 380, 448 is 2.
Given numbers are 998, 294, 380, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 294) = 146706
GCD(998, 294) = ( 998 x 294 ) / 146706
= 998 / 294
= 998
Step2:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
Step3:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
So, Greatest Common Divisor of 998, 294, 380, 448 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 294, 380, 448
The greatest common divisor of numbers 998, 294, 380, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 294, 380, 448 is 2.
1. What is the GCD of 998, 294, 380, 448?
GCD of given numbers 998, 294, 380, 448 is 2
2. How to calculate the greatest common divisor of 998, 294, 380, 448?
We can find the highest common divisor of 998, 294, 380, 448 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 998, 294, 380, 448 i.e 2.
3. How can I use the GCD of 998, 294, 380, 448Calculator?
Out the numbers 998, 294, 380, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.