Online GCD Calculator is useful to find the GCD of 715, 270, 336, 714 quickly. Get the easiest ways to solve the greatest common divisor of 715, 270, 336, 714 i.e 1 in different methods as follows.
Given Input numbers are 715, 270, 336, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (715, 270, 336, 714) = 1.
Given numbers are 715, 270, 336, 714
The list of prime factors of all numbers are
Prime factors of 715 are 5 x 11 x 13
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 714 are 2 x 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 715, 270, 336, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(715, 270) = 38610
GCD(715, 270) = ( 715 x 270 ) / 38610
= 715 / 270
= 715
Step2:
LCM(5, 336) = 1680
GCD(5, 336) = ( 5 x 336 ) / 1680
= 5 / 336
= 5
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 715, 270, 336, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 715, 270, 336, 714
The greatest common divisor of numbers 715, 270, 336, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 270, 336, 714 is 1.
1. What is the GCD of 715, 270, 336, 714?
GCD of given numbers 715, 270, 336, 714 is 1
2. How to calculate the greatest common divisor of 715, 270, 336, 714?
We can find the highest common divisor of 715, 270, 336, 714 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 715, 270, 336, 714 i.e 1.
3. How can I use the GCD of 715, 270, 336, 714Calculator?
Out the numbers 715, 270, 336, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.