Online GCD Calculator is useful to find the GCD of 520, 784, 72, 549 quickly. Get the easiest ways to solve the greatest common divisor of 520, 784, 72, 549 i.e 1 in different methods as follows.
Given Input numbers are 520, 784, 72, 549
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
GCD of numbers is the greatest common divisor
So, the GCD (520, 784, 72, 549) = 1.
Given numbers are 520, 784, 72, 549
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 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 549 are 3 x 3 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 520, 784, 72, 549
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 784) = 50960
GCD(520, 784) = ( 520 x 784 ) / 50960
= 520 / 784
= 520
Step2:
LCM(8, 72) = 72
GCD(8, 72) = ( 8 x 72 ) / 72
= 8 / 72
= 8
Step3:
LCM(8, 549) = 4392
GCD(8, 549) = ( 8 x 549 ) / 4392
= 8 / 549
= 8
So, Greatest Common Divisor of 520, 784, 72, 549 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 784, 72, 549
The greatest common divisor of numbers 520, 784, 72, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 784, 72, 549 is 1.
1. What is the GCD of 520, 784, 72, 549?
GCD of given numbers 520, 784, 72, 549 is 1
2. How to calculate the greatest common divisor of 520, 784, 72, 549?
We can find the highest common divisor of 520, 784, 72, 549 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, 784, 72, 549 i.e 1.
3. How can I use the GCD of 520, 784, 72, 549Calculator?
Out the numbers 520, 784, 72, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.