Online GCD Calculator is useful to find the GCD of 364, 118, 686, 100 quickly. Get the easiest ways to solve the greatest common divisor of 364, 118, 686, 100 i.e 2 in different methods as follows.
Given Input numbers are 364, 118, 686, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (364, 118, 686, 100) = 2.
Given numbers are 364, 118, 686, 100
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 118 are 2 x 59
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 364, 118, 686, 100 is 2.
Given numbers are 364, 118, 686, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 118) = 21476
GCD(364, 118) = ( 364 x 118 ) / 21476
= 364 / 118
= 364
Step2:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
Step3:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
So, Greatest Common Divisor of 364, 118, 686, 100 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 118, 686, 100
The greatest common divisor of numbers 364, 118, 686, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 118, 686, 100 is 2.
1. What is the GCD of 364, 118, 686, 100?
GCD of given numbers 364, 118, 686, 100 is 2
2. How to calculate the greatest common divisor of 364, 118, 686, 100?
We can find the highest common divisor of 364, 118, 686, 100 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 364, 118, 686, 100 i.e 2.
3. How can I use the GCD of 364, 118, 686, 100Calculator?
Out the numbers 364, 118, 686, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.