Online GCD Calculator is useful to find the GCD of 310, 196, 294, 135 quickly. Get the easiest ways to solve the greatest common divisor of 310, 196, 294, 135 i.e 1 in different methods as follows.
Given Input numbers are 310, 196, 294, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (310, 196, 294, 135) = 1.
Given numbers are 310, 196, 294, 135
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 310, 196, 294, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 196) = 30380
GCD(310, 196) = ( 310 x 196 ) / 30380
= 310 / 196
= 310
Step2:
LCM(2, 294) = 294
GCD(2, 294) = ( 2 x 294 ) / 294
= 2 / 294
= 2
Step3:
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
= 2 / 135
= 2
So, Greatest Common Divisor of 310, 196, 294, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 196, 294, 135
The greatest common divisor of numbers 310, 196, 294, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 196, 294, 135 is 1.
1. What is the GCD of 310, 196, 294, 135?
GCD of given numbers 310, 196, 294, 135 is 1
2. How to calculate the greatest common divisor of 310, 196, 294, 135?
We can find the highest common divisor of 310, 196, 294, 135 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 310, 196, 294, 135 i.e 1.
3. How can I use the GCD of 310, 196, 294, 135Calculator?
Out the numbers 310, 196, 294, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.