Online GCD Calculator is useful to find the GCD of 676, 468, 284 quickly. Get the easiest ways to solve the greatest common divisor of 676, 468, 284 i.e 4 in different methods as follows.
Given Input numbers are 676, 468, 284
In the factoring method, we have to find the divisors of all numbers
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 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (676, 468, 284) = 4.
Given numbers are 676, 468, 284
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 22
Therefore, GCD of 676, 468, 284 is 4.
Given numbers are 676, 468, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 468) = 6084
GCD(676, 468) = ( 676 x 468 ) / 6084
= 676 / 468
= 676
Step2:
LCM(52, 284) = 3692
GCD(52, 284) = ( 52 x 284 ) / 3692
= 52 / 284
= 52
So, Greatest Common Divisor of 676, 468, 284 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 468, 284
The greatest common divisor of numbers 676, 468, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 468, 284 is 4.
1. What is the GCD of 676, 468, 284?
GCD of given numbers 676, 468, 284 is 4
2. How to calculate the greatest common divisor of 676, 468, 284?
We can find the highest common divisor of 676, 468, 284 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 676, 468, 284 i.e 4.
3. How can I use the GCD of 676, 468, 284Calculator?
Out the numbers 676, 468, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.