Online GCD Calculator is useful to find the GCD of 730, 142, 504, 478 quickly. Get the easiest ways to solve the greatest common divisor of 730, 142, 504, 478 i.e 2 in different methods as follows.
Given Input numbers are 730, 142, 504, 478
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
GCD of numbers is the greatest common divisor
So, the GCD (730, 142, 504, 478) = 2.
Given numbers are 730, 142, 504, 478
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 142 are 2 x 71
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 478 are 2 x 239
The highest common occurrence is 21
Therefore, GCD of 730, 142, 504, 478 is 2.
Given numbers are 730, 142, 504, 478
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 142) = 51830
GCD(730, 142) = ( 730 x 142 ) / 51830
= 730 / 142
= 730
Step2:
LCM(2, 504) = 504
GCD(2, 504) = ( 2 x 504 ) / 504
= 2 / 504
= 2
Step3:
LCM(2, 478) = 478
GCD(2, 478) = ( 2 x 478 ) / 478
= 2 / 478
= 2
So, Greatest Common Divisor of 730, 142, 504, 478 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 142, 504, 478
The greatest common divisor of numbers 730, 142, 504, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 142, 504, 478 is 2.
1. What is the GCD of 730, 142, 504, 478?
GCD of given numbers 730, 142, 504, 478 is 2
2. How to calculate the greatest common divisor of 730, 142, 504, 478?
We can find the highest common divisor of 730, 142, 504, 478 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 730, 142, 504, 478 i.e 2.
3. How can I use the GCD of 730, 142, 504, 478Calculator?
Out the numbers 730, 142, 504, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.