Online GCD Calculator is useful to find the GCD of 806, 676, 520, 624 quickly. Get the easiest ways to solve the greatest common divisor of 806, 676, 520, 624 i.e 26 in different methods as follows.
Given Input numbers are 806, 676, 520, 624
In the factoring method, we have to find the divisors of all numbers
Divisors of 806 :
The positive integer divisors of 806 that completely divides 806 are.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (806, 676, 520, 624) = 26.
Given numbers are 806, 676, 520, 624
The list of prime factors of all numbers are
Prime factors of 806 are 2 x 13 x 31
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 131 x 21
Therefore, GCD of 806, 676, 520, 624 is 26.
Given numbers are 806, 676, 520, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(806, 676) = 20956
GCD(806, 676) = ( 806 x 676 ) / 20956
= 806 / 676
= 806
Step2:
LCM(26, 520) = 520
GCD(26, 520) = ( 26 x 520 ) / 520
= 26 / 520
= 26
Step3:
LCM(26, 624) = 624
GCD(26, 624) = ( 26 x 624 ) / 624
= 26 / 624
= 26
So, Greatest Common Divisor of 806, 676, 520, 624 is 26
Here are some samples of GCD of Numbers calculations.
Given numbers are 806, 676, 520, 624
The greatest common divisor of numbers 806, 676, 520, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 806, 676, 520, 624 is 26.
1. What is the GCD of 806, 676, 520, 624?
GCD of given numbers 806, 676, 520, 624 is 26
2. How to calculate the greatest common divisor of 806, 676, 520, 624?
We can find the highest common divisor of 806, 676, 520, 624 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 806, 676, 520, 624 i.e 26.
3. How can I use the GCD of 806, 676, 520, 624Calculator?
Out the numbers 806, 676, 520, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.