Online GCD Calculator is useful to find the GCD of 830, 408, 792, 988 quickly. Get the easiest ways to solve the greatest common divisor of 830, 408, 792, 988 i.e 2 in different methods as follows.
Given Input numbers are 830, 408, 792, 988
In the factoring method, we have to find the divisors of all numbers
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (830, 408, 792, 988) = 2.
Given numbers are 830, 408, 792, 988
The list of prime factors of all numbers are
Prime factors of 830 are 2 x 5 x 83
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 988 are 2 x 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 830, 408, 792, 988 is 2.
Given numbers are 830, 408, 792, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(830, 408) = 169320
GCD(830, 408) = ( 830 x 408 ) / 169320
= 830 / 408
= 830
Step2:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
Step3:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
So, Greatest Common Divisor of 830, 408, 792, 988 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 830, 408, 792, 988
The greatest common divisor of numbers 830, 408, 792, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 408, 792, 988 is 2.
1. What is the GCD of 830, 408, 792, 988?
GCD of given numbers 830, 408, 792, 988 is 2
2. How to calculate the greatest common divisor of 830, 408, 792, 988?
We can find the highest common divisor of 830, 408, 792, 988 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 830, 408, 792, 988 i.e 2.
3. How can I use the GCD of 830, 408, 792, 988Calculator?
Out the numbers 830, 408, 792, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.