Online GCD Calculator is useful to find the GCD of 830, 904, 738, 700 quickly. Get the easiest ways to solve the greatest common divisor of 830, 904, 738, 700 i.e 2 in different methods as follows.
Given Input numbers are 830, 904, 738, 700
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 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
GCD of numbers is the greatest common divisor
So, the GCD (830, 904, 738, 700) = 2.
Given numbers are 830, 904, 738, 700
The list of prime factors of all numbers are
Prime factors of 830 are 2 x 5 x 83
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 830, 904, 738, 700 is 2.
Given numbers are 830, 904, 738, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(830, 904) = 375160
GCD(830, 904) = ( 830 x 904 ) / 375160
= 830 / 904
= 830
Step2:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
Step3:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
So, Greatest Common Divisor of 830, 904, 738, 700 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 830, 904, 738, 700
The greatest common divisor of numbers 830, 904, 738, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 904, 738, 700 is 2.
1. What is the GCD of 830, 904, 738, 700?
GCD of given numbers 830, 904, 738, 700 is 2
2. How to calculate the greatest common divisor of 830, 904, 738, 700?
We can find the highest common divisor of 830, 904, 738, 700 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, 904, 738, 700 i.e 2.
3. How can I use the GCD of 830, 904, 738, 700Calculator?
Out the numbers 830, 904, 738, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.