Online GCD Calculator is useful to find the GCD of 856, 458, 520, 552 quickly. Get the easiest ways to solve the greatest common divisor of 856, 458, 520, 552 i.e 2 in different methods as follows.
Given Input numbers are 856, 458, 520, 552
In the factoring method, we have to find the divisors of all numbers
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
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 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
GCD of numbers is the greatest common divisor
So, the GCD (856, 458, 520, 552) = 2.
Given numbers are 856, 458, 520, 552
The list of prime factors of all numbers are
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 458 are 2 x 229
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 856, 458, 520, 552 is 2.
Given numbers are 856, 458, 520, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(856, 458) = 196024
GCD(856, 458) = ( 856 x 458 ) / 196024
= 856 / 458
= 856
Step2:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
Step3:
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
= 2 / 552
= 2
So, Greatest Common Divisor of 856, 458, 520, 552 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 856, 458, 520, 552
The greatest common divisor of numbers 856, 458, 520, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 458, 520, 552 is 2.
1. What is the GCD of 856, 458, 520, 552?
GCD of given numbers 856, 458, 520, 552 is 2
2. How to calculate the greatest common divisor of 856, 458, 520, 552?
We can find the highest common divisor of 856, 458, 520, 552 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 856, 458, 520, 552 i.e 2.
3. How can I use the GCD of 856, 458, 520, 552Calculator?
Out the numbers 856, 458, 520, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.