Online GCD Calculator is useful to find the GCD of 118, 696, 268, 830 quickly. Get the easiest ways to solve the greatest common divisor of 118, 696, 268, 830 i.e 2 in different methods as follows.
Given Input numbers are 118, 696, 268, 830
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
GCD of numbers is the greatest common divisor
So, the GCD (118, 696, 268, 830) = 2.
Given numbers are 118, 696, 268, 830
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 268 are 2 x 2 x 67
Prime factors of 830 are 2 x 5 x 83
The highest common occurrence is 21
Therefore, GCD of 118, 696, 268, 830 is 2.
Given numbers are 118, 696, 268, 830
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 696) = 41064
GCD(118, 696) = ( 118 x 696 ) / 41064
= 118 / 696
= 118
Step2:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
Step3:
LCM(2, 830) = 830
GCD(2, 830) = ( 2 x 830 ) / 830
= 2 / 830
= 2
So, Greatest Common Divisor of 118, 696, 268, 830 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 696, 268, 830
The greatest common divisor of numbers 118, 696, 268, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 696, 268, 830 is 2.
1. What is the GCD of 118, 696, 268, 830?
GCD of given numbers 118, 696, 268, 830 is 2
2. How to calculate the greatest common divisor of 118, 696, 268, 830?
We can find the highest common divisor of 118, 696, 268, 830 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 118, 696, 268, 830 i.e 2.
3. How can I use the GCD of 118, 696, 268, 830Calculator?
Out the numbers 118, 696, 268, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.