Online GCD Calculator is useful to find the GCD of 842, 580, 790, 298 quickly. Get the easiest ways to solve the greatest common divisor of 842, 580, 790, 298 i.e 2 in different methods as follows.
Given Input numbers are 842, 580, 790, 298
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (842, 580, 790, 298) = 2.
Given numbers are 842, 580, 790, 298
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 790 are 2 x 5 x 79
Prime factors of 298 are 2 x 149
The highest common occurrence is 21
Therefore, GCD of 842, 580, 790, 298 is 2.
Given numbers are 842, 580, 790, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 580) = 244180
GCD(842, 580) = ( 842 x 580 ) / 244180
= 842 / 580
= 842
Step2:
LCM(2, 790) = 790
GCD(2, 790) = ( 2 x 790 ) / 790
= 2 / 790
= 2
Step3:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
So, Greatest Common Divisor of 842, 580, 790, 298 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 580, 790, 298
The greatest common divisor of numbers 842, 580, 790, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 580, 790, 298 is 2.
1. What is the GCD of 842, 580, 790, 298?
GCD of given numbers 842, 580, 790, 298 is 2
2. How to calculate the greatest common divisor of 842, 580, 790, 298?
We can find the highest common divisor of 842, 580, 790, 298 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 842, 580, 790, 298 i.e 2.
3. How can I use the GCD of 842, 580, 790, 298Calculator?
Out the numbers 842, 580, 790, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.