Online GCD Calculator is useful to find the GCD of 680, 704, 221, 527 quickly. Get the easiest ways to solve the greatest common divisor of 680, 704, 221, 527 i.e 1 in different methods as follows.
Given Input numbers are 680, 704, 221, 527
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 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 527 :
The positive integer divisors of 527 that completely divides 527 are.
1, 17, 31, 527
GCD of numbers is the greatest common divisor
So, the GCD (680, 704, 221, 527) = 1.
Given numbers are 680, 704, 221, 527
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 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 221 are 13 x 17
Prime factors of 527 are 17 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 704, 221, 527
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 704) = 59840
GCD(680, 704) = ( 680 x 704 ) / 59840
= 680 / 704
= 680
Step2:
LCM(8, 221) = 1768
GCD(8, 221) = ( 8 x 221 ) / 1768
= 8 / 221
= 8
Step3:
LCM(1, 527) = 527
GCD(1, 527) = ( 1 x 527 ) / 527
= 1 / 527
= 1
So, Greatest Common Divisor of 680, 704, 221, 527 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 704, 221, 527
The greatest common divisor of numbers 680, 704, 221, 527 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 704, 221, 527 is 1.
1. What is the GCD of 680, 704, 221, 527?
GCD of given numbers 680, 704, 221, 527 is 1
2. How to calculate the greatest common divisor of 680, 704, 221, 527?
We can find the highest common divisor of 680, 704, 221, 527 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, 704, 221, 527 i.e 1.
3. How can I use the GCD of 680, 704, 221, 527Calculator?
Out the numbers 680, 704, 221, 527 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.