Online GCD Calculator is useful to find the GCD of 118, 616, 680, 994 quickly. Get the easiest ways to solve the greatest common divisor of 118, 616, 680, 994 i.e 2 in different methods as follows.
Given Input numbers are 118, 616, 680, 994
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 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (118, 616, 680, 994) = 2.
Given numbers are 118, 616, 680, 994
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 994 are 2 x 7 x 71
The highest common occurrence is 21
Therefore, GCD of 118, 616, 680, 994 is 2.
Given numbers are 118, 616, 680, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 616) = 36344
GCD(118, 616) = ( 118 x 616 ) / 36344
= 118 / 616
= 118
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
= 2 / 994
= 2
So, Greatest Common Divisor of 118, 616, 680, 994 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 616, 680, 994
The greatest common divisor of numbers 118, 616, 680, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 616, 680, 994 is 2.
1. What is the GCD of 118, 616, 680, 994?
GCD of given numbers 118, 616, 680, 994 is 2
2. How to calculate the greatest common divisor of 118, 616, 680, 994?
We can find the highest common divisor of 118, 616, 680, 994 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, 616, 680, 994 i.e 2.
3. How can I use the GCD of 118, 616, 680, 994Calculator?
Out the numbers 118, 616, 680, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.