Online GCD Calculator is useful to find the GCD of 284, 520, 676, 144 quickly. Get the easiest ways to solve the greatest common divisor of 284, 520, 676, 144 i.e 4 in different methods as follows.
Given Input numbers are 284, 520, 676, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (284, 520, 676, 144) = 4.
Given numbers are 284, 520, 676, 144
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 284, 520, 676, 144 is 4.
Given numbers are 284, 520, 676, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 520) = 36920
GCD(284, 520) = ( 284 x 520 ) / 36920
= 284 / 520
= 284
Step2:
LCM(4, 676) = 676
GCD(4, 676) = ( 4 x 676 ) / 676
= 4 / 676
= 4
Step3:
LCM(4, 144) = 144
GCD(4, 144) = ( 4 x 144 ) / 144
= 4 / 144
= 4
So, Greatest Common Divisor of 284, 520, 676, 144 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 520, 676, 144
The greatest common divisor of numbers 284, 520, 676, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 520, 676, 144 is 4.
1. What is the GCD of 284, 520, 676, 144?
GCD of given numbers 284, 520, 676, 144 is 4
2. How to calculate the greatest common divisor of 284, 520, 676, 144?
We can find the highest common divisor of 284, 520, 676, 144 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 284, 520, 676, 144 i.e 4.
3. How can I use the GCD of 284, 520, 676, 144Calculator?
Out the numbers 284, 520, 676, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.