Online GCD Calculator is useful to find the GCD of 280, 230, 790 quickly. Get the easiest ways to solve the greatest common divisor of 280, 230, 790 i.e 10 in different methods as follows.
Given Input numbers are 280, 230, 790
In the factoring method, we have to find the divisors of all numbers
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
GCD of numbers is the greatest common divisor
So, the GCD (280, 230, 790) = 10.
Given numbers are 280, 230, 790
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 230 are 2 x 5 x 23
Prime factors of 790 are 2 x 5 x 79
The highest common occurrence is 21 x 51
Therefore, GCD of 280, 230, 790 is 10.
Given numbers are 280, 230, 790
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 230) = 6440
GCD(280, 230) = ( 280 x 230 ) / 6440
= 280 / 230
= 280
Step2:
LCM(10, 790) = 790
GCD(10, 790) = ( 10 x 790 ) / 790
= 10 / 790
= 10
So, Greatest Common Divisor of 280, 230, 790 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 230, 790
The greatest common divisor of numbers 280, 230, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 230, 790 is 10.
1. What is the GCD of 280, 230, 790?
GCD of given numbers 280, 230, 790 is 10
2. How to calculate the greatest common divisor of 280, 230, 790?
We can find the highest common divisor of 280, 230, 790 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 280, 230, 790 i.e 10.
3. How can I use the GCD of 280, 230, 790Calculator?
Out the numbers 280, 230, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.