Online GCD Calculator is useful to find the GCD of 224, 780, 520 quickly. Get the easiest ways to solve the greatest common divisor of 224, 780, 520 i.e 4 in different methods as follows.
Given Input numbers are 224, 780, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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 (224, 780, 520) = 4.
Given numbers are 224, 780, 520
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 22
Therefore, GCD of 224, 780, 520 is 4.
Given numbers are 224, 780, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 780) = 43680
GCD(224, 780) = ( 224 x 780 ) / 43680
= 224 / 780
= 224
Step2:
LCM(4, 520) = 520
GCD(4, 520) = ( 4 x 520 ) / 520
= 4 / 520
= 4
So, Greatest Common Divisor of 224, 780, 520 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 780, 520
The greatest common divisor of numbers 224, 780, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 780, 520 is 4.
1. What is the GCD of 224, 780, 520?
GCD of given numbers 224, 780, 520 is 4
2. How to calculate the greatest common divisor of 224, 780, 520?
We can find the highest common divisor of 224, 780, 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 224, 780, 520 i.e 4.
3. How can I use the GCD of 224, 780, 520Calculator?
Out the numbers 224, 780, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.