Online GCD Calculator is useful to find the GCD of 920, 935, 790, 500 quickly. Get the easiest ways to solve the greatest common divisor of 920, 935, 790, 500 i.e 5 in different methods as follows.
Given Input numbers are 920, 935, 790, 500
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 935 :
The positive integer divisors of 935 that completely divides 935 are.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
GCD of numbers is the greatest common divisor
So, the GCD (920, 935, 790, 500) = 5.
Given numbers are 920, 935, 790, 500
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 935 are 5 x 11 x 17
Prime factors of 790 are 2 x 5 x 79
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 920, 935, 790, 500 is 5.
Given numbers are 920, 935, 790, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 935) = 172040
GCD(920, 935) = ( 920 x 935 ) / 172040
= 920 / 935
= 920
Step2:
LCM(5, 790) = 790
GCD(5, 790) = ( 5 x 790 ) / 790
= 5 / 790
= 5
Step3:
LCM(5, 500) = 500
GCD(5, 500) = ( 5 x 500 ) / 500
= 5 / 500
= 5
So, Greatest Common Divisor of 920, 935, 790, 500 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 935, 790, 500
The greatest common divisor of numbers 920, 935, 790, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 935, 790, 500 is 5.
1. What is the GCD of 920, 935, 790, 500?
GCD of given numbers 920, 935, 790, 500 is 5
2. How to calculate the greatest common divisor of 920, 935, 790, 500?
We can find the highest common divisor of 920, 935, 790, 500 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 920, 935, 790, 500 i.e 5.
3. How can I use the GCD of 920, 935, 790, 500Calculator?
Out the numbers 920, 935, 790, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.