Online GCD Calculator is useful to find the GCD of 357, 561, 505, 514 quickly. Get the easiest ways to solve the greatest common divisor of 357, 561, 505, 514 i.e 1 in different methods as follows.
Given Input numbers are 357, 561, 505, 514
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
GCD of numbers is the greatest common divisor
So, the GCD (357, 561, 505, 514) = 1.
Given numbers are 357, 561, 505, 514
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 561 are 3 x 11 x 17
Prime factors of 505 are 5 x 101
Prime factors of 514 are 2 x 257
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 357, 561, 505, 514
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 561) = 3927
GCD(357, 561) = ( 357 x 561 ) / 3927
= 357 / 561
= 357
Step2:
LCM(51, 505) = 25755
GCD(51, 505) = ( 51 x 505 ) / 25755
= 51 / 505
= 51
Step3:
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
= 1 / 514
= 1
So, Greatest Common Divisor of 357, 561, 505, 514 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 561, 505, 514
The greatest common divisor of numbers 357, 561, 505, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 561, 505, 514 is 1.
1. What is the GCD of 357, 561, 505, 514?
GCD of given numbers 357, 561, 505, 514 is 1
2. How to calculate the greatest common divisor of 357, 561, 505, 514?
We can find the highest common divisor of 357, 561, 505, 514 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 357, 561, 505, 514 i.e 1.
3. How can I use the GCD of 357, 561, 505, 514Calculator?
Out the numbers 357, 561, 505, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.