Online GCD Calculator is useful to find the GCD of 284, 948, 520 quickly. Get the easiest ways to solve the greatest common divisor of 284, 948, 520 i.e 4 in different methods as follows.
Given Input numbers are 284, 948, 520
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 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
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
GCD of numbers is the greatest common divisor
So, the GCD (284, 948, 520) = 4.
Given numbers are 284, 948, 520
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 22
Therefore, GCD of 284, 948, 520 is 4.
Given numbers are 284, 948, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 948) = 67308
GCD(284, 948) = ( 284 x 948 ) / 67308
= 284 / 948
= 284
Step2:
LCM(4, 520) = 520
GCD(4, 520) = ( 4 x 520 ) / 520
= 4 / 520
= 4
So, Greatest Common Divisor of 284, 948, 520 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 948, 520
The greatest common divisor of numbers 284, 948, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 948, 520 is 4.
1. What is the GCD of 284, 948, 520?
GCD of given numbers 284, 948, 520 is 4
2. How to calculate the greatest common divisor of 284, 948, 520?
We can find the highest common divisor of 284, 948, 520 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, 948, 520 i.e 4.
3. How can I use the GCD of 284, 948, 520Calculator?
Out the numbers 284, 948, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.