Online GCD Calculator is useful to find the GCD of 324, 470, 676, 100 quickly. Get the easiest ways to solve the greatest common divisor of 324, 470, 676, 100 i.e 2 in different methods as follows.
Given Input numbers are 324, 470, 676, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 (324, 470, 676, 100) = 2.
Given numbers are 324, 470, 676, 100
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 470 are 2 x 5 x 47
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 324, 470, 676, 100 is 2.
Given numbers are 324, 470, 676, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 470) = 76140
GCD(324, 470) = ( 324 x 470 ) / 76140
= 324 / 470
= 324
Step2:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
Step3:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
So, Greatest Common Divisor of 324, 470, 676, 100 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 470, 676, 100
The greatest common divisor of numbers 324, 470, 676, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 470, 676, 100 is 2.
1. What is the GCD of 324, 470, 676, 100?
GCD of given numbers 324, 470, 676, 100 is 2
2. How to calculate the greatest common divisor of 324, 470, 676, 100?
We can find the highest common divisor of 324, 470, 676, 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 324, 470, 676, 100 i.e 2.
3. How can I use the GCD of 324, 470, 676, 100Calculator?
Out the numbers 324, 470, 676, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.