Online GCD Calculator is useful to find the GCD of 418, 772, 448, 520 quickly. Get the easiest ways to solve the greatest common divisor of 418, 772, 448, 520 i.e 2 in different methods as follows.
Given Input numbers are 418, 772, 448, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
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 (418, 772, 448, 520) = 2.
Given numbers are 418, 772, 448, 520
The list of prime factors of all numbers are
Prime factors of 418 are 2 x 11 x 19
Prime factors of 772 are 2 x 2 x 193
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 418, 772, 448, 520 is 2.
Given numbers are 418, 772, 448, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(418, 772) = 161348
GCD(418, 772) = ( 418 x 772 ) / 161348
= 418 / 772
= 418
Step2:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
Step3:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
So, Greatest Common Divisor of 418, 772, 448, 520 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 418, 772, 448, 520
The greatest common divisor of numbers 418, 772, 448, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 772, 448, 520 is 2.
1. What is the GCD of 418, 772, 448, 520?
GCD of given numbers 418, 772, 448, 520 is 2
2. How to calculate the greatest common divisor of 418, 772, 448, 520?
We can find the highest common divisor of 418, 772, 448, 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 418, 772, 448, 520 i.e 2.
3. How can I use the GCD of 418, 772, 448, 520Calculator?
Out the numbers 418, 772, 448, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.