Online GCD Calculator is useful to find the GCD of 370, 494, 440, 554 quickly. Get the easiest ways to solve the greatest common divisor of 370, 494, 440, 554 i.e 2 in different methods as follows.
Given Input numbers are 370, 494, 440, 554
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 554 :
The positive integer divisors of 554 that completely divides 554 are.
1, 2, 277, 554
GCD of numbers is the greatest common divisor
So, the GCD (370, 494, 440, 554) = 2.
Given numbers are 370, 494, 440, 554
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 494 are 2 x 13 x 19
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 554 are 2 x 277
The highest common occurrence is 21
Therefore, GCD of 370, 494, 440, 554 is 2.
Given numbers are 370, 494, 440, 554
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 494) = 91390
GCD(370, 494) = ( 370 x 494 ) / 91390
= 370 / 494
= 370
Step2:
LCM(2, 440) = 440
GCD(2, 440) = ( 2 x 440 ) / 440
= 2 / 440
= 2
Step3:
LCM(2, 554) = 554
GCD(2, 554) = ( 2 x 554 ) / 554
= 2 / 554
= 2
So, Greatest Common Divisor of 370, 494, 440, 554 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 494, 440, 554
The greatest common divisor of numbers 370, 494, 440, 554 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 494, 440, 554 is 2.
1. What is the GCD of 370, 494, 440, 554?
GCD of given numbers 370, 494, 440, 554 is 2
2. How to calculate the greatest common divisor of 370, 494, 440, 554?
We can find the highest common divisor of 370, 494, 440, 554 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 370, 494, 440, 554 i.e 2.
3. How can I use the GCD of 370, 494, 440, 554Calculator?
Out the numbers 370, 494, 440, 554 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.