Online GCD Calculator is useful to find the GCD of 427, 357, 660, 715 quickly. Get the easiest ways to solve the greatest common divisor of 427, 357, 660, 715 i.e 1 in different methods as follows.
Given Input numbers are 427, 357, 660, 715
In the factoring method, we have to find the divisors of all numbers
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
GCD of numbers is the greatest common divisor
So, the GCD (427, 357, 660, 715) = 1.
Given numbers are 427, 357, 660, 715
The list of prime factors of all numbers are
Prime factors of 427 are 7 x 61
Prime factors of 357 are 3 x 7 x 17
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 715 are 5 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 427, 357, 660, 715
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(427, 357) = 21777
GCD(427, 357) = ( 427 x 357 ) / 21777
= 427 / 357
= 427
Step2:
LCM(7, 660) = 4620
GCD(7, 660) = ( 7 x 660 ) / 4620
= 7 / 660
= 7
Step3:
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
= 1 / 715
= 1
So, Greatest Common Divisor of 427, 357, 660, 715 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 427, 357, 660, 715
The greatest common divisor of numbers 427, 357, 660, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 357, 660, 715 is 1.
1. What is the GCD of 427, 357, 660, 715?
GCD of given numbers 427, 357, 660, 715 is 1
2. How to calculate the greatest common divisor of 427, 357, 660, 715?
We can find the highest common divisor of 427, 357, 660, 715 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 427, 357, 660, 715 i.e 1.
3. How can I use the GCD of 427, 357, 660, 715Calculator?
Out the numbers 427, 357, 660, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.