Online GCD Calculator is useful to find the GCD of 790, 130, 205, 910 quickly. Get the easiest ways to solve the greatest common divisor of 790, 130, 205, 910 i.e 5 in different methods as follows.
Given Input numbers are 790, 130, 205, 910
In the factoring method, we have to find the divisors of all numbers
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
GCD of numbers is the greatest common divisor
So, the GCD (790, 130, 205, 910) = 5.
Given numbers are 790, 130, 205, 910
The list of prime factors of all numbers are
Prime factors of 790 are 2 x 5 x 79
Prime factors of 130 are 2 x 5 x 13
Prime factors of 205 are 5 x 41
Prime factors of 910 are 2 x 5 x 7 x 13
The highest common occurrence is 51
Therefore, GCD of 790, 130, 205, 910 is 5.
Given numbers are 790, 130, 205, 910
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(790, 130) = 10270
GCD(790, 130) = ( 790 x 130 ) / 10270
= 790 / 130
= 790
Step2:
LCM(10, 205) = 410
GCD(10, 205) = ( 10 x 205 ) / 410
= 10 / 205
= 10
Step3:
LCM(5, 910) = 910
GCD(5, 910) = ( 5 x 910 ) / 910
= 5 / 910
= 5
So, Greatest Common Divisor of 790, 130, 205, 910 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 790, 130, 205, 910
The greatest common divisor of numbers 790, 130, 205, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 130, 205, 910 is 5.
1. What is the GCD of 790, 130, 205, 910?
GCD of given numbers 790, 130, 205, 910 is 5
2. How to calculate the greatest common divisor of 790, 130, 205, 910?
We can find the highest common divisor of 790, 130, 205, 910 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 790, 130, 205, 910 i.e 5.
3. How can I use the GCD of 790, 130, 205, 910Calculator?
Out the numbers 790, 130, 205, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.