Online GCD Calculator is useful to find the GCD of 528, 724, 842, 116 quickly. Get the easiest ways to solve the greatest common divisor of 528, 724, 842, 116 i.e 2 in different methods as follows.
Given Input numbers are 528, 724, 842, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (528, 724, 842, 116) = 2.
Given numbers are 528, 724, 842, 116
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 724 are 2 x 2 x 181
Prime factors of 842 are 2 x 421
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 528, 724, 842, 116 is 2.
Given numbers are 528, 724, 842, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 724) = 95568
GCD(528, 724) = ( 528 x 724 ) / 95568
= 528 / 724
= 528
Step2:
LCM(4, 842) = 1684
GCD(4, 842) = ( 4 x 842 ) / 1684
= 4 / 842
= 4
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 528, 724, 842, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 528, 724, 842, 116
The greatest common divisor of numbers 528, 724, 842, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 724, 842, 116 is 2.
1. What is the GCD of 528, 724, 842, 116?
GCD of given numbers 528, 724, 842, 116 is 2
2. How to calculate the greatest common divisor of 528, 724, 842, 116?
We can find the highest common divisor of 528, 724, 842, 116 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 528, 724, 842, 116 i.e 2.
3. How can I use the GCD of 528, 724, 842, 116Calculator?
Out the numbers 528, 724, 842, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.