Online GCD Calculator is useful to find the GCD of 212, 264, 135, 298 quickly. Get the easiest ways to solve the greatest common divisor of 212, 264, 135, 298 i.e 1 in different methods as follows.
Given Input numbers are 212, 264, 135, 298
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (212, 264, 135, 298) = 1.
Given numbers are 212, 264, 135, 298
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 298 are 2 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 212, 264, 135, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 264) = 13992
GCD(212, 264) = ( 212 x 264 ) / 13992
= 212 / 264
= 212
Step2:
LCM(4, 135) = 540
GCD(4, 135) = ( 4 x 135 ) / 540
= 4 / 135
= 4
Step3:
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
= 1 / 298
= 1
So, Greatest Common Divisor of 212, 264, 135, 298 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 264, 135, 298
The greatest common divisor of numbers 212, 264, 135, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 264, 135, 298 is 1.
1. What is the GCD of 212, 264, 135, 298?
GCD of given numbers 212, 264, 135, 298 is 1
2. How to calculate the greatest common divisor of 212, 264, 135, 298?
We can find the highest common divisor of 212, 264, 135, 298 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 212, 264, 135, 298 i.e 1.
3. How can I use the GCD of 212, 264, 135, 298Calculator?
Out the numbers 212, 264, 135, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.