Online GCD Calculator is useful to find the GCD of 318, 124, 964, 100 quickly. Get the easiest ways to solve the greatest common divisor of 318, 124, 964, 100 i.e 2 in different methods as follows.
Given Input numbers are 318, 124, 964, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
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 (318, 124, 964, 100) = 2.
Given numbers are 318, 124, 964, 100
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 124 are 2 x 2 x 31
Prime factors of 964 are 2 x 2 x 241
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 318, 124, 964, 100 is 2.
Given numbers are 318, 124, 964, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 124) = 19716
GCD(318, 124) = ( 318 x 124 ) / 19716
= 318 / 124
= 318
Step2:
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
= 2 / 964
= 2
Step3:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
So, Greatest Common Divisor of 318, 124, 964, 100 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 124, 964, 100
The greatest common divisor of numbers 318, 124, 964, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 124, 964, 100 is 2.
1. What is the GCD of 318, 124, 964, 100?
GCD of given numbers 318, 124, 964, 100 is 2
2. How to calculate the greatest common divisor of 318, 124, 964, 100?
We can find the highest common divisor of 318, 124, 964, 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 318, 124, 964, 100 i.e 2.
3. How can I use the GCD of 318, 124, 964, 100Calculator?
Out the numbers 318, 124, 964, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.