Online GCD Calculator is useful to find the GCD of 680, 560, 405, 252 quickly. Get the easiest ways to solve the greatest common divisor of 680, 560, 405, 252 i.e 1 in different methods as follows.
Given Input numbers are 680, 560, 405, 252
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 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (680, 560, 405, 252) = 1.
Given numbers are 680, 560, 405, 252
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 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 560, 405, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 560) = 9520
GCD(680, 560) = ( 680 x 560 ) / 9520
= 680 / 560
= 680
Step2:
LCM(40, 405) = 3240
GCD(40, 405) = ( 40 x 405 ) / 3240
= 40 / 405
= 40
Step3:
LCM(5, 252) = 1260
GCD(5, 252) = ( 5 x 252 ) / 1260
= 5 / 252
= 5
So, Greatest Common Divisor of 680, 560, 405, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 560, 405, 252
The greatest common divisor of numbers 680, 560, 405, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 560, 405, 252 is 1.
1. What is the GCD of 680, 560, 405, 252?
GCD of given numbers 680, 560, 405, 252 is 1
2. How to calculate the greatest common divisor of 680, 560, 405, 252?
We can find the highest common divisor of 680, 560, 405, 252 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, 560, 405, 252 i.e 1.
3. How can I use the GCD of 680, 560, 405, 252Calculator?
Out the numbers 680, 560, 405, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.