Online GCD Calculator is useful to find the GCD of 130, 916, 140, 590 quickly. Get the easiest ways to solve the greatest common divisor of 130, 916, 140, 590 i.e 2 in different methods as follows.
Given Input numbers are 130, 916, 140, 590
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 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (130, 916, 140, 590) = 2.
Given numbers are 130, 916, 140, 590
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 916 are 2 x 2 x 229
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21
Therefore, GCD of 130, 916, 140, 590 is 2.
Given numbers are 130, 916, 140, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 916) = 59540
GCD(130, 916) = ( 130 x 916 ) / 59540
= 130 / 916
= 130
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
= 2 / 590
= 2
So, Greatest Common Divisor of 130, 916, 140, 590 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 916, 140, 590
The greatest common divisor of numbers 130, 916, 140, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 916, 140, 590 is 2.
1. What is the GCD of 130, 916, 140, 590?
GCD of given numbers 130, 916, 140, 590 is 2
2. How to calculate the greatest common divisor of 130, 916, 140, 590?
We can find the highest common divisor of 130, 916, 140, 590 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, 916, 140, 590 i.e 2.
3. How can I use the GCD of 130, 916, 140, 590Calculator?
Out the numbers 130, 916, 140, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.