Online GCD Calculator is useful to find the GCD of 680, 414, 506, 533 quickly. Get the easiest ways to solve the greatest common divisor of 680, 414, 506, 533 i.e 1 in different methods as follows.
Given Input numbers are 680, 414, 506, 533
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
GCD of numbers is the greatest common divisor
So, the GCD (680, 414, 506, 533) = 1.
Given numbers are 680, 414, 506, 533
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 506 are 2 x 11 x 23
Prime factors of 533 are 13 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 414, 506, 533
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 414) = 140760
GCD(680, 414) = ( 680 x 414 ) / 140760
= 680 / 414
= 680
Step2:
LCM(2, 506) = 506
GCD(2, 506) = ( 2 x 506 ) / 506
= 2 / 506
= 2
Step3:
LCM(2, 533) = 1066
GCD(2, 533) = ( 2 x 533 ) / 1066
= 2 / 533
= 2
So, Greatest Common Divisor of 680, 414, 506, 533 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 414, 506, 533
The greatest common divisor of numbers 680, 414, 506, 533 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 414, 506, 533 is 1.
1. What is the GCD of 680, 414, 506, 533?
GCD of given numbers 680, 414, 506, 533 is 1
2. How to calculate the greatest common divisor of 680, 414, 506, 533?
We can find the highest common divisor of 680, 414, 506, 533 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 680, 414, 506, 533 i.e 1.
3. How can I use the GCD of 680, 414, 506, 533Calculator?
Out the numbers 680, 414, 506, 533 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.