Online GCD Calculator is useful to find the GCD of 798, 595, 791, 588 quickly. Get the easiest ways to solve the greatest common divisor of 798, 595, 791, 588 i.e 7 in different methods as follows.
Given Input numbers are 798, 595, 791, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (798, 595, 791, 588) = 7.
Given numbers are 798, 595, 791, 588
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 595 are 5 x 7 x 17
Prime factors of 791 are 7 x 113
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 71
Therefore, GCD of 798, 595, 791, 588 is 7.
Given numbers are 798, 595, 791, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 595) = 67830
GCD(798, 595) = ( 798 x 595 ) / 67830
= 798 / 595
= 798
Step2:
LCM(7, 791) = 791
GCD(7, 791) = ( 7 x 791 ) / 791
= 7 / 791
= 7
Step3:
LCM(7, 588) = 588
GCD(7, 588) = ( 7 x 588 ) / 588
= 7 / 588
= 7
So, Greatest Common Divisor of 798, 595, 791, 588 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 595, 791, 588
The greatest common divisor of numbers 798, 595, 791, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 595, 791, 588 is 7.
1. What is the GCD of 798, 595, 791, 588?
GCD of given numbers 798, 595, 791, 588 is 7
2. How to calculate the greatest common divisor of 798, 595, 791, 588?
We can find the highest common divisor of 798, 595, 791, 588 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 798, 595, 791, 588 i.e 7.
3. How can I use the GCD of 798, 595, 791, 588Calculator?
Out the numbers 798, 595, 791, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.