Online GCD Calculator is useful to find the GCD of 398, 548, 400, 450 quickly. Get the easiest ways to solve the greatest common divisor of 398, 548, 400, 450 i.e 2 in different methods as follows.
Given Input numbers are 398, 548, 400, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (398, 548, 400, 450) = 2.
Given numbers are 398, 548, 400, 450
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 548 are 2 x 2 x 137
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 398, 548, 400, 450 is 2.
Given numbers are 398, 548, 400, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 548) = 109052
GCD(398, 548) = ( 398 x 548 ) / 109052
= 398 / 548
= 398
Step2:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
Step3:
LCM(2, 450) = 450
GCD(2, 450) = ( 2 x 450 ) / 450
= 2 / 450
= 2
So, Greatest Common Divisor of 398, 548, 400, 450 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 548, 400, 450
The greatest common divisor of numbers 398, 548, 400, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 548, 400, 450 is 2.
1. What is the GCD of 398, 548, 400, 450?
GCD of given numbers 398, 548, 400, 450 is 2
2. How to calculate the greatest common divisor of 398, 548, 400, 450?
We can find the highest common divisor of 398, 548, 400, 450 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 398, 548, 400, 450 i.e 2.
3. How can I use the GCD of 398, 548, 400, 450Calculator?
Out the numbers 398, 548, 400, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.