Online GCD Calculator is useful to find the GCD of 302, 357, 270, 336 quickly. Get the easiest ways to solve the greatest common divisor of 302, 357, 270, 336 i.e 1 in different methods as follows.
Given Input numbers are 302, 357, 270, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
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
GCD of numbers is the greatest common divisor
So, the GCD (302, 357, 270, 336) = 1.
Given numbers are 302, 357, 270, 336
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 357 are 3 x 7 x 17
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
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 302, 357, 270, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 357) = 107814
GCD(302, 357) = ( 302 x 357 ) / 107814
= 302 / 357
= 302
Step2:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
Step3:
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
= 1 / 336
= 1
So, Greatest Common Divisor of 302, 357, 270, 336 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 357, 270, 336
The greatest common divisor of numbers 302, 357, 270, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 357, 270, 336 is 1.
1. What is the GCD of 302, 357, 270, 336?
GCD of given numbers 302, 357, 270, 336 is 1
2. How to calculate the greatest common divisor of 302, 357, 270, 336?
We can find the highest common divisor of 302, 357, 270, 336 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 302, 357, 270, 336 i.e 1.
3. How can I use the GCD of 302, 357, 270, 336Calculator?
Out the numbers 302, 357, 270, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.