Online GCD Calculator is useful to find the GCD of 520, 820, 608, 744 quickly. Get the easiest ways to solve the greatest common divisor of 520, 820, 608, 744 i.e 4 in different methods as follows.
Given Input numbers are 520, 820, 608, 744
In the factoring method, we have to find the divisors of all numbers
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 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (520, 820, 608, 744) = 4.
Given numbers are 520, 820, 608, 744
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 22
Therefore, GCD of 520, 820, 608, 744 is 4.
Given numbers are 520, 820, 608, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 820) = 21320
GCD(520, 820) = ( 520 x 820 ) / 21320
= 520 / 820
= 520
Step2:
LCM(20, 608) = 3040
GCD(20, 608) = ( 20 x 608 ) / 3040
= 20 / 608
= 20
Step3:
LCM(4, 744) = 744
GCD(4, 744) = ( 4 x 744 ) / 744
= 4 / 744
= 4
So, Greatest Common Divisor of 520, 820, 608, 744 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 820, 608, 744
The greatest common divisor of numbers 520, 820, 608, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 820, 608, 744 is 4.
1. What is the GCD of 520, 820, 608, 744?
GCD of given numbers 520, 820, 608, 744 is 4
2. How to calculate the greatest common divisor of 520, 820, 608, 744?
We can find the highest common divisor of 520, 820, 608, 744 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 520, 820, 608, 744 i.e 4.
3. How can I use the GCD of 520, 820, 608, 744Calculator?
Out the numbers 520, 820, 608, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.