Online GCD Calculator is useful to find the GCD of 530, 554, 350, 378 quickly. Get the easiest ways to solve the greatest common divisor of 530, 554, 350, 378 i.e 2 in different methods as follows.
Given Input numbers are 530, 554, 350, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 554 :
The positive integer divisors of 554 that completely divides 554 are.
1, 2, 277, 554
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (530, 554, 350, 378) = 2.
Given numbers are 530, 554, 350, 378
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 554 are 2 x 277
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 530, 554, 350, 378 is 2.
Given numbers are 530, 554, 350, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 554) = 146810
GCD(530, 554) = ( 530 x 554 ) / 146810
= 530 / 554
= 530
Step2:
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
= 2 / 350
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 530, 554, 350, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 554, 350, 378
The greatest common divisor of numbers 530, 554, 350, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 554, 350, 378 is 2.
1. What is the GCD of 530, 554, 350, 378?
GCD of given numbers 530, 554, 350, 378 is 2
2. How to calculate the greatest common divisor of 530, 554, 350, 378?
We can find the highest common divisor of 530, 554, 350, 378 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 530, 554, 350, 378 i.e 2.
3. How can I use the GCD of 530, 554, 350, 378Calculator?
Out the numbers 530, 554, 350, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.