Online GCD Calculator is useful to find the GCD of 294, 736, 790, 116 quickly. Get the easiest ways to solve the greatest common divisor of 294, 736, 790, 116 i.e 2 in different methods as follows.
Given Input numbers are 294, 736, 790, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (294, 736, 790, 116) = 2.
Given numbers are 294, 736, 790, 116
The list of prime factors of all numbers are
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 790 are 2 x 5 x 79
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 294, 736, 790, 116 is 2.
Given numbers are 294, 736, 790, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(294, 736) = 108192
GCD(294, 736) = ( 294 x 736 ) / 108192
= 294 / 736
= 294
Step2:
LCM(2, 790) = 790
GCD(2, 790) = ( 2 x 790 ) / 790
= 2 / 790
= 2
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 294, 736, 790, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 294, 736, 790, 116
The greatest common divisor of numbers 294, 736, 790, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 736, 790, 116 is 2.
1. What is the GCD of 294, 736, 790, 116?
GCD of given numbers 294, 736, 790, 116 is 2
2. How to calculate the greatest common divisor of 294, 736, 790, 116?
We can find the highest common divisor of 294, 736, 790, 116 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 294, 736, 790, 116 i.e 2.
3. How can I use the GCD of 294, 736, 790, 116Calculator?
Out the numbers 294, 736, 790, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.