Online GCD Calculator is useful to find the GCD of 112, 884, 520, 780 quickly. Get the easiest ways to solve the greatest common divisor of 112, 884, 520, 780 i.e 4 in different methods as follows.
Given Input numbers are 112, 884, 520, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
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 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
GCD of numbers is the greatest common divisor
So, the GCD (112, 884, 520, 780) = 4.
Given numbers are 112, 884, 520, 780
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 22
Therefore, GCD of 112, 884, 520, 780 is 4.
Given numbers are 112, 884, 520, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 884) = 24752
GCD(112, 884) = ( 112 x 884 ) / 24752
= 112 / 884
= 112
Step2:
LCM(4, 520) = 520
GCD(4, 520) = ( 4 x 520 ) / 520
= 4 / 520
= 4
Step3:
LCM(4, 780) = 780
GCD(4, 780) = ( 4 x 780 ) / 780
= 4 / 780
= 4
So, Greatest Common Divisor of 112, 884, 520, 780 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 884, 520, 780
The greatest common divisor of numbers 112, 884, 520, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 884, 520, 780 is 4.
1. What is the GCD of 112, 884, 520, 780?
GCD of given numbers 112, 884, 520, 780 is 4
2. How to calculate the greatest common divisor of 112, 884, 520, 780?
We can find the highest common divisor of 112, 884, 520, 780 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 112, 884, 520, 780 i.e 4.
3. How can I use the GCD of 112, 884, 520, 780Calculator?
Out the numbers 112, 884, 520, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.