Online GCD Calculator is useful to find the GCD of 530, 258, 172, 702 quickly. Get the easiest ways to solve the greatest common divisor of 530, 258, 172, 702 i.e 2 in different methods as follows.
Given Input numbers are 530, 258, 172, 702
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 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (530, 258, 172, 702) = 2.
Given numbers are 530, 258, 172, 702
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 258 are 2 x 3 x 43
Prime factors of 172 are 2 x 2 x 43
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 530, 258, 172, 702 is 2.
Given numbers are 530, 258, 172, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 258) = 68370
GCD(530, 258) = ( 530 x 258 ) / 68370
= 530 / 258
= 530
Step2:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 530, 258, 172, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 258, 172, 702
The greatest common divisor of numbers 530, 258, 172, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 258, 172, 702 is 2.
1. What is the GCD of 530, 258, 172, 702?
GCD of given numbers 530, 258, 172, 702 is 2
2. How to calculate the greatest common divisor of 530, 258, 172, 702?
We can find the highest common divisor of 530, 258, 172, 702 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, 258, 172, 702 i.e 2.
3. How can I use the GCD of 530, 258, 172, 702Calculator?
Out the numbers 530, 258, 172, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.