Online GCD Calculator is useful to find the GCD of 130, 850, 346, 508 quickly. Get the easiest ways to solve the greatest common divisor of 130, 850, 346, 508 i.e 2 in different methods as follows.
Given Input numbers are 130, 850, 346, 508
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (130, 850, 346, 508) = 2.
Given numbers are 130, 850, 346, 508
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 346 are 2 x 173
Prime factors of 508 are 2 x 2 x 127
The highest common occurrence is 21
Therefore, GCD of 130, 850, 346, 508 is 2.
Given numbers are 130, 850, 346, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 850) = 11050
GCD(130, 850) = ( 130 x 850 ) / 11050
= 130 / 850
= 130
Step2:
LCM(10, 346) = 1730
GCD(10, 346) = ( 10 x 346 ) / 1730
= 10 / 346
= 10
Step3:
LCM(2, 508) = 508
GCD(2, 508) = ( 2 x 508 ) / 508
= 2 / 508
= 2
So, Greatest Common Divisor of 130, 850, 346, 508 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 850, 346, 508
The greatest common divisor of numbers 130, 850, 346, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 850, 346, 508 is 2.
1. What is the GCD of 130, 850, 346, 508?
GCD of given numbers 130, 850, 346, 508 is 2
2. How to calculate the greatest common divisor of 130, 850, 346, 508?
We can find the highest common divisor of 130, 850, 346, 508 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 130, 850, 346, 508 i.e 2.
3. How can I use the GCD of 130, 850, 346, 508Calculator?
Out the numbers 130, 850, 346, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.